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Finding the Fourth Proportional to 8,647.16, 12,947.13 and 6,532.59

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Solution

The fourth proportional to 8,647.16, 12,947.13 and 6,532.59 is: 9,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.16 : 12,947.13 = 6,532.59 : x
  2. Step 2: Convert to fraction form
    8,647.16/12,947.13 = 6,532.59/x
  3. Step 3: Cross multiply
    8,647.16x = 12,947.13 × 6,532.59
  4. Step 4: Simplify right side
    8,647.16x = 84,578,291.97
  5. Step 5: Solve for x
    x = 84,578,291.97/8,647.16
  6. Step 6: Final answer
    x = 9,781.05

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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.