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Finding the Fourth Proportional to 7,206.66, 9,949.73 and 5,524.95

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Solution

The fourth proportional to 7,206.66, 9,949.73 and 5,524.95 is: 7,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.66 : 9,949.73 = 5,524.95 : x
  2. Step 2: Convert to fraction form
    7,206.66/9,949.73 = 5,524.95/x
  3. Step 3: Cross multiply
    7,206.66x = 9,949.73 × 5,524.95
  4. Step 4: Simplify right side
    7,206.66x = 54,971,683.39
  5. Step 5: Solve for x
    x = 54,971,683.39/7,206.66
  6. Step 6: Final answer
    x = 7,627.91

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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.