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Finding the Fourth Proportional to 24,573.65, 36,868.64 and 9,778.59

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Solution

The fourth proportional to 24,573.65, 36,868.64 and 9,778.59 is: 14,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.65 : 36,868.64 = 9,778.59 : x
  2. Step 2: Convert to fraction form
    24,573.65/36,868.64 = 9,778.59/x
  3. Step 3: Cross multiply
    24,573.65x = 36,868.64 × 9,778.59
  4. Step 4: Simplify right side
    24,573.65x = 360,523,265.52
  5. Step 5: Solve for x
    x = 360,523,265.52/24,573.65
  6. Step 6: Final answer
    x = 14,671.14

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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.