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Finding the Fourth Proportional to 12,292.74, 18,424.56 and 6,748.74

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Solution

The fourth proportional to 12,292.74, 18,424.56 and 6,748.74 is: 10,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.74 : 18,424.56 = 6,748.74 : x
  2. Step 2: Convert to fraction form
    12,292.74/18,424.56 = 6,748.74/x
  3. Step 3: Cross multiply
    12,292.74x = 18,424.56 × 6,748.74
  4. Step 4: Simplify right side
    12,292.74x = 124,342,565.05
  5. Step 5: Solve for x
    x = 124,342,565.05/12,292.74
  6. Step 6: Final answer
    x = 10,115.12

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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.