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Finding the Fourth Proportional to 6,454.30, 9,688.65 and 6,031.30

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Solution

The fourth proportional to 6,454.30, 9,688.65 and 6,031.30 is: 9,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.30 : 9,688.65 = 6,031.30 : x
  2. Step 2: Convert to fraction form
    6,454.30/9,688.65 = 6,031.30/x
  3. Step 3: Cross multiply
    6,454.30x = 9,688.65 × 6,031.30
  4. Step 4: Simplify right side
    6,454.30x = 58,435,154.75
  5. Step 5: Solve for x
    x = 58,435,154.75/6,454.30
  6. Step 6: Final answer
    x = 9,053.68

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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.