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Finding the Fourth Proportional to 24,894.68, 37,341 and 6,174.77

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Solution

The fourth proportional to 24,894.68, 37,341 and 6,174.77 is: 9,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.68 : 37,341 = 6,174.77 : x
  2. Step 2: Convert to fraction form
    24,894.68/37,341 = 6,174.77/x
  3. Step 3: Cross multiply
    24,894.68x = 37,341 × 6,174.77
  4. Step 4: Simplify right side
    24,894.68x = 230,571,899.87
  5. Step 5: Solve for x
    x = 230,571,899.87/24,894.68
  6. Step 6: Final answer
    x = 9,261.90

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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.