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Finding the Fourth Proportional to 12,497.64, 18,737.12 and 7,566.09

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Solution

The fourth proportional to 12,497.64, 18,737.12 and 7,566.09 is: 11,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.64 : 18,737.12 = 7,566.09 : x
  2. Step 2: Convert to fraction form
    12,497.64/18,737.12 = 7,566.09/x
  3. Step 3: Cross multiply
    12,497.64x = 18,737.12 × 7,566.09
  4. Step 4: Simplify right side
    12,497.64x = 141,766,604.74
  5. Step 5: Solve for x
    x = 141,766,604.74/12,497.64
  6. Step 6: Final answer
    x = 11,343.47

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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.