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Finding the Fourth Proportional to 9,049.97, 13,636.61 and 7,442.53

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Solution

The fourth proportional to 9,049.97, 13,636.61 and 7,442.53 is: 11,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.97 : 13,636.61 = 7,442.53 : x
  2. Step 2: Convert to fraction form
    9,049.97/13,636.61 = 7,442.53/x
  3. Step 3: Cross multiply
    9,049.97x = 13,636.61 × 7,442.53
  4. Step 4: Simplify right side
    9,049.97x = 101,490,879.02
  5. Step 5: Solve for x
    x = 101,490,879.02/9,049.97
  6. Step 6: Final answer
    x = 11,214.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.