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Finding the Fourth Proportional to 24,149.40, 36,226.80 and 7,509.30

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Solution

The fourth proportional to 24,149.40, 36,226.80 and 7,509.30 is: 11,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.40 : 36,226.80 = 7,509.30 : x
  2. Step 2: Convert to fraction form
    24,149.40/36,226.80 = 7,509.30/x
  3. Step 3: Cross multiply
    24,149.40x = 36,226.80 × 7,509.30
  4. Step 4: Simplify right side
    24,149.40x = 272,037,909.24
  5. Step 5: Solve for x
    x = 272,037,909.24/24,149.40
  6. Step 6: Final answer
    x = 11,264.79

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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.