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Finding the Fourth Proportional to 13,597.78, 20,377.68 and 7,010.14

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Solution

The fourth proportional to 13,597.78, 20,377.68 and 7,010.14 is: 10,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.78 : 20,377.68 = 7,010.14 : x
  2. Step 2: Convert to fraction form
    13,597.78/20,377.68 = 7,010.14/x
  3. Step 3: Cross multiply
    13,597.78x = 20,377.68 × 7,010.14
  4. Step 4: Simplify right side
    13,597.78x = 142,850,389.68
  5. Step 5: Solve for x
    x = 142,850,389.68/13,597.78
  6. Step 6: Final answer
    x = 10,505.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.