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Finding the Fourth Proportional to 8,664.22, 11,948.61 and 6,502.11

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Solution

The fourth proportional to 8,664.22, 11,948.61 and 6,502.11 is: 8,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.22 : 11,948.61 = 6,502.11 : x
  2. Step 2: Convert to fraction form
    8,664.22/11,948.61 = 6,502.11/x
  3. Step 3: Cross multiply
    8,664.22x = 11,948.61 × 6,502.11
  4. Step 4: Simplify right side
    8,664.22x = 77,691,176.57
  5. Step 5: Solve for x
    x = 77,691,176.57/8,664.22
  6. Step 6: Final answer
    x = 8,966.90

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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.