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Finding the Fourth Proportional to 9,020.88, 12,448 and 5,041.44

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Solution

The fourth proportional to 9,020.88, 12,448 and 5,041.44 is: 6,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.88 : 12,448 = 5,041.44 : x
  2. Step 2: Convert to fraction form
    9,020.88/12,448 = 5,041.44/x
  3. Step 3: Cross multiply
    9,020.88x = 12,448 × 5,041.44
  4. Step 4: Simplify right side
    9,020.88x = 62,755,845.12
  5. Step 5: Solve for x
    x = 62,755,845.12/9,020.88
  6. Step 6: Final answer
    x = 6,956.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.