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Finding the Fourth Proportional to 8,489.63, 12,710.70 and 6,403.10

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Solution

The fourth proportional to 8,489.63, 12,710.70 and 6,403.10 is: 9,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.63 : 12,710.70 = 6,403.10 : x
  2. Step 2: Convert to fraction form
    8,489.63/12,710.70 = 6,403.10/x
  3. Step 3: Cross multiply
    8,489.63x = 12,710.70 × 6,403.10
  4. Step 4: Simplify right side
    8,489.63x = 81,387,819.62
  5. Step 5: Solve for x
    x = 81,387,819.62/8,489.63
  6. Step 6: Final answer
    x = 9,586.74

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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.