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Finding the Fourth Proportional to 12,262.47, 16,925.78 and 8,014.15

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Solution

The fourth proportional to 12,262.47, 16,925.78 and 8,014.15 is: 11,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.47 : 16,925.78 = 8,014.15 : x
  2. Step 2: Convert to fraction form
    12,262.47/16,925.78 = 8,014.15/x
  3. Step 3: Cross multiply
    12,262.47x = 16,925.78 × 8,014.15
  4. Step 4: Simplify right side
    12,262.47x = 135,645,739.79
  5. Step 5: Solve for x
    x = 135,645,739.79/12,262.47
  6. Step 6: Final answer
    x = 11,061.86

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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.