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Finding the Fourth Proportional to 9,684.33, 13,368.80 and 7,445.42

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Solution

The fourth proportional to 9,684.33, 13,368.80 and 7,445.42 is: 10,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.33 : 13,368.80 = 7,445.42 : x
  2. Step 2: Convert to fraction form
    9,684.33/13,368.80 = 7,445.42/x
  3. Step 3: Cross multiply
    9,684.33x = 13,368.80 × 7,445.42
  4. Step 4: Simplify right side
    9,684.33x = 99,536,290.92
  5. Step 5: Solve for x
    x = 99,536,290.92/9,684.33
  6. Step 6: Final answer
    x = 10,278.08

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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.