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Finding the Fourth Proportional to 24,498.63, 36,751.38 and 7,854.75

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Solution

The fourth proportional to 24,498.63, 36,751.38 and 7,854.75 is: 11,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.63 : 36,751.38 = 7,854.75 : x
  2. Step 2: Convert to fraction form
    24,498.63/36,751.38 = 7,854.75/x
  3. Step 3: Cross multiply
    24,498.63x = 36,751.38 × 7,854.75
  4. Step 4: Simplify right side
    24,498.63x = 288,672,902.06
  5. Step 5: Solve for x
    x = 288,672,902.06/24,498.63
  6. Step 6: Final answer
    x = 11,783.23

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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.