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Finding the Fourth Proportional to 8,507.71, 12,761.57 and 2,267.40

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Solution

The fourth proportional to 8,507.71, 12,761.57 and 2,267.40 is: 3,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.71 : 12,761.57 = 2,267.40 : x
  2. Step 2: Convert to fraction form
    8,507.71/12,761.57 = 2,267.40/x
  3. Step 3: Cross multiply
    8,507.71x = 12,761.57 × 2,267.40
  4. Step 4: Simplify right side
    8,507.71x = 28,935,583.82
  5. Step 5: Solve for x
    x = 28,935,583.82/8,507.71
  6. Step 6: Final answer
    x = 3,401.10

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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.