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Finding the Fourth Proportional to 7,209.25, 9,948.78 and 4,065.55

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Solution

The fourth proportional to 7,209.25, 9,948.78 and 4,065.55 is: 5,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.25 : 9,948.78 = 4,065.55 : x
  2. Step 2: Convert to fraction form
    7,209.25/9,948.78 = 4,065.55/x
  3. Step 3: Cross multiply
    7,209.25x = 9,948.78 × 4,065.55
  4. Step 4: Simplify right side
    7,209.25x = 40,447,262.53
  5. Step 5: Solve for x
    x = 40,447,262.53/7,209.25
  6. Step 6: Final answer
    x = 5,610.47

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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.