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Finding the Fourth Proportional to 24,649.48, 36,988.86 and 9,078.04

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Solution

The fourth proportional to 24,649.48, 36,988.86 and 9,078.04 is: 13,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.48 : 36,988.86 = 9,078.04 : x
  2. Step 2: Convert to fraction form
    24,649.48/36,988.86 = 9,078.04/x
  3. Step 3: Cross multiply
    24,649.48x = 36,988.86 × 9,078.04
  4. Step 4: Simplify right side
    24,649.48x = 335,786,350.63
  5. Step 5: Solve for x
    x = 335,786,350.63/24,649.48
  6. Step 6: Final answer
    x = 13,622.45

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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.