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Finding the Fourth Proportional to 7,641.42, 10,466.13 and 7,193.10

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Solution

The fourth proportional to 7,641.42, 10,466.13 and 7,193.10 is: 9,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.42 : 10,466.13 = 7,193.10 : x
  2. Step 2: Convert to fraction form
    7,641.42/10,466.13 = 7,193.10/x
  3. Step 3: Cross multiply
    7,641.42x = 10,466.13 × 7,193.10
  4. Step 4: Simplify right side
    7,641.42x = 75,283,919.70
  5. Step 5: Solve for x
    x = 75,283,919.70/7,641.42
  6. Step 6: Final answer
    x = 9,852.09

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Half scale
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Double scale
Find fourth proportional to 7,642.42, 10,467.50 and 7,194.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.