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Finding the Fourth Proportional to 24,711.76, 37,073.72 and 7,181.76

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Solution

The fourth proportional to 24,711.76, 37,073.72 and 7,181.76 is: 10,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.76 : 37,073.72 = 7,181.76 : x
  2. Step 2: Convert to fraction form
    24,711.76/37,073.72 = 7,181.76/x
  3. Step 3: Cross multiply
    24,711.76x = 37,073.72 × 7,181.76
  4. Step 4: Simplify right side
    24,711.76x = 266,254,559.35
  5. Step 5: Solve for x
    x = 266,254,559.35/24,711.76
  6. Step 6: Final answer
    x = 10,774.41

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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.