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Finding the Fourth Proportional to 24,506.05, 36,760.47 and 6,974.50

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Solution

The fourth proportional to 24,506.05, 36,760.47 and 6,974.50 is: 10,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.05 : 36,760.47 = 6,974.50 : x
  2. Step 2: Convert to fraction form
    24,506.05/36,760.47 = 6,974.50/x
  3. Step 3: Cross multiply
    24,506.05x = 36,760.47 × 6,974.50
  4. Step 4: Simplify right side
    24,506.05x = 256,385,898.02
  5. Step 5: Solve for x
    x = 256,385,898.02/24,506.05
  6. Step 6: Final answer
    x = 10,462.15

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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.