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Finding the Fourth Proportional to 8,031.64, 11,966.96 and 7,158.64

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Solution

The fourth proportional to 8,031.64, 11,966.96 and 7,158.64 is: 10,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.64 : 11,966.96 = 7,158.64 : x
  2. Step 2: Convert to fraction form
    8,031.64/11,966.96 = 7,158.64/x
  3. Step 3: Cross multiply
    8,031.64x = 11,966.96 × 7,158.64
  4. Step 4: Simplify right side
    8,031.64x = 85,667,158.53
  5. Step 5: Solve for x
    x = 85,667,158.53/8,031.64
  6. Step 6: Final answer
    x = 10,666.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.