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Finding the Fourth Proportional to 10,597.53, 15,898.98 and 4,020.13

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Solution

The fourth proportional to 10,597.53, 15,898.98 and 4,020.13 is: 6,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.53 : 15,898.98 = 4,020.13 : x
  2. Step 2: Convert to fraction form
    10,597.53/15,898.98 = 4,020.13/x
  3. Step 3: Cross multiply
    10,597.53x = 15,898.98 × 4,020.13
  4. Step 4: Simplify right side
    10,597.53x = 63,916,001.42
  5. Step 5: Solve for x
    x = 63,916,001.42/10,597.53
  6. Step 6: Final answer
    x = 6,031.21

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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.