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Finding the Fourth Proportional to 9,241, 12,752.85 and 5,049.52

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Solution

The fourth proportional to 9,241, 12,752.85 and 5,049.52 is: 6,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 12,752.85 = 5,049.52 : x
  2. Step 2: Convert to fraction form
    9,241/12,752.85 = 5,049.52/x
  3. Step 3: Cross multiply
    9,241x = 12,752.85 × 5,049.52
  4. Step 4: Simplify right side
    9,241x = 64,395,771.13
  5. Step 5: Solve for x
    x = 64,395,771.13/9,241
  6. Step 6: Final answer
    x = 6,968.49

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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.