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Finding the Fourth Proportional to 7,648.97, 11,454.98 and 4,352.08

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Solution

The fourth proportional to 7,648.97, 11,454.98 and 4,352.08 is: 6,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.97 : 11,454.98 = 4,352.08 : x
  2. Step 2: Convert to fraction form
    7,648.97/11,454.98 = 4,352.08/x
  3. Step 3: Cross multiply
    7,648.97x = 11,454.98 × 4,352.08
  4. Step 4: Simplify right side
    7,648.97x = 49,852,910.32
  5. Step 5: Solve for x
    x = 49,852,910.32/7,648.97
  6. Step 6: Final answer
    x = 6,517.60

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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.