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Finding the Fourth Proportional to 9,929.68, 13,703.12 and 5,453.85

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Solution

The fourth proportional to 9,929.68, 13,703.12 and 5,453.85 is: 7,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.68 : 13,703.12 = 5,453.85 : x
  2. Step 2: Convert to fraction form
    9,929.68/13,703.12 = 5,453.85/x
  3. Step 3: Cross multiply
    9,929.68x = 13,703.12 × 5,453.85
  4. Step 4: Simplify right side
    9,929.68x = 74,734,761.01
  5. Step 5: Solve for x
    x = 74,734,761.01/9,929.68
  6. Step 6: Final answer
    x = 7,526.40

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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.