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Finding the Fourth Proportional to 9,767.68, 14,616.96 and 8,615.68

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Solution

The fourth proportional to 9,767.68, 14,616.96 and 8,615.68 is: 12,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.68 : 14,616.96 = 8,615.68 : x
  2. Step 2: Convert to fraction form
    9,767.68/14,616.96 = 8,615.68/x
  3. Step 3: Cross multiply
    9,767.68x = 14,616.96 × 8,615.68
  4. Step 4: Simplify right side
    9,767.68x = 125,935,049.93
  5. Step 5: Solve for x
    x = 125,935,049.93/9,767.68
  6. Step 6: Final answer
    x = 12,893.04

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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.