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Finding the Fourth Proportional to 16,034.17, 24,056.44 and 7,713.11

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Solution

The fourth proportional to 16,034.17, 24,056.44 and 7,713.11 is: 11,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.17 : 24,056.44 = 7,713.11 : x
  2. Step 2: Convert to fraction form
    16,034.17/24,056.44 = 7,713.11/x
  3. Step 3: Cross multiply
    16,034.17x = 24,056.44 × 7,713.11
  4. Step 4: Simplify right side
    16,034.17x = 185,549,916.86
  5. Step 5: Solve for x
    x = 185,549,916.86/16,034.17
  6. Step 6: Final answer
    x = 11,572.16

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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.