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Finding the Fourth Proportional to 10,616.55, 14,652.87 and 7,031.55

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Solution

The fourth proportional to 10,616.55, 14,652.87 and 7,031.55 is: 9,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.55 : 14,652.87 = 7,031.55 : x
  2. Step 2: Convert to fraction form
    10,616.55/14,652.87 = 7,031.55/x
  3. Step 3: Cross multiply
    10,616.55x = 14,652.87 × 7,031.55
  4. Step 4: Simplify right side
    10,616.55x = 103,032,388.05
  5. Step 5: Solve for x
    x = 103,032,388.05/10,616.55
  6. Step 6: Final answer
    x = 9,704.88

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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.