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Finding the Fourth Proportional to 7,202.10, 9,943.49 and 5,878.95

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Solution

The fourth proportional to 7,202.10, 9,943.49 and 5,878.95 is: 8,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.10 : 9,943.49 = 5,878.95 : x
  2. Step 2: Convert to fraction form
    7,202.10/9,943.49 = 5,878.95/x
  3. Step 3: Cross multiply
    7,202.10x = 9,943.49 × 5,878.95
  4. Step 4: Simplify right side
    7,202.10x = 58,457,251.14
  5. Step 5: Solve for x
    x = 58,457,251.14/7,202.10
  6. Step 6: Final answer
    x = 8,116.70

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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.