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Finding the Fourth Proportional to 8,689.38, 11,981.84 and 6,455.40

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Solution

The fourth proportional to 8,689.38, 11,981.84 and 6,455.40 is: 8,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.38 : 11,981.84 = 6,455.40 : x
  2. Step 2: Convert to fraction form
    8,689.38/11,981.84 = 6,455.40/x
  3. Step 3: Cross multiply
    8,689.38x = 11,981.84 × 6,455.40
  4. Step 4: Simplify right side
    8,689.38x = 77,347,537.66
  5. Step 5: Solve for x
    x = 77,347,537.66/8,689.38
  6. Step 6: Final answer
    x = 8,901.39

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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.