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Finding the Fourth Proportional to 7,842.44, 10,846.59 and 7,711.22

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Solution

The fourth proportional to 7,842.44, 10,846.59 and 7,711.22 is: 10,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.44 : 10,846.59 = 7,711.22 : x
  2. Step 2: Convert to fraction form
    7,842.44/10,846.59 = 7,711.22/x
  3. Step 3: Cross multiply
    7,842.44x = 10,846.59 × 7,711.22
  4. Step 4: Simplify right side
    7,842.44x = 83,640,441.74
  5. Step 5: Solve for x
    x = 83,640,441.74/7,842.44
  6. Step 6: Final answer
    x = 10,665.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.