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Finding the Fourth Proportional to 24,746.64, 37,123.44 and 7,217.76

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Solution

The fourth proportional to 24,746.64, 37,123.44 and 7,217.76 is: 10,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.64 : 37,123.44 = 7,217.76 : x
  2. Step 2: Convert to fraction form
    24,746.64/37,123.44 = 7,217.76/x
  3. Step 3: Cross multiply
    24,746.64x = 37,123.44 × 7,217.76
  4. Step 4: Simplify right side
    24,746.64x = 267,948,080.29
  5. Step 5: Solve for x
    x = 267,948,080.29/24,746.64
  6. Step 6: Final answer
    x = 10,827.65

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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.