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Finding the Fourth Proportional to 24,742.28, 37,118.98 and 7,876.26

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Solution

The fourth proportional to 24,742.28, 37,118.98 and 7,876.26 is: 11,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.28 : 37,118.98 = 7,876.26 : x
  2. Step 2: Convert to fraction form
    24,742.28/37,118.98 = 7,876.26/x
  3. Step 3: Cross multiply
    24,742.28x = 37,118.98 × 7,876.26
  4. Step 4: Simplify right side
    24,742.28x = 292,358,737.41
  5. Step 5: Solve for x
    x = 292,358,737.41/24,742.28
  6. Step 6: Final answer
    x = 11,816.16

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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.