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Finding the Fourth Proportional to 24,734.17, 37,100.86 and 7,866.94

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Solution

The fourth proportional to 24,734.17, 37,100.86 and 7,866.94 is: 11,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.17 : 37,100.86 = 7,866.94 : x
  2. Step 2: Convert to fraction form
    24,734.17/37,100.86 = 7,866.94/x
  3. Step 3: Cross multiply
    24,734.17x = 37,100.86 × 7,866.94
  4. Step 4: Simplify right side
    24,734.17x = 291,870,121.87
  5. Step 5: Solve for x
    x = 291,870,121.87/24,734.17
  6. Step 6: Final answer
    x = 11,800.28

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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.