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Finding the Fourth Proportional to 10,685.52, 16,031.52 and 6,293.70

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Solution

The fourth proportional to 10,685.52, 16,031.52 and 6,293.70 is: 9,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.52 : 16,031.52 = 6,293.70 : x
  2. Step 2: Convert to fraction form
    10,685.52/16,031.52 = 6,293.70/x
  3. Step 3: Cross multiply
    10,685.52x = 16,031.52 × 6,293.70
  4. Step 4: Simplify right side
    10,685.52x = 100,897,577.42
  5. Step 5: Solve for x
    x = 100,897,577.42/10,685.52
  6. Step 6: Final answer
    x = 9,442.46

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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.