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Finding the Fourth Proportional to 7,202.09, 9,943.47 and 5,878.95

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Solution

The fourth proportional to 7,202.09, 9,943.47 and 5,878.95 is: 8,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.09 : 9,943.47 = 5,878.95 : x
  2. Step 2: Convert to fraction form
    7,202.09/9,943.47 = 5,878.95/x
  3. Step 3: Cross multiply
    7,202.09x = 9,943.47 × 5,878.95
  4. Step 4: Simplify right side
    7,202.09x = 58,457,162.96
  5. Step 5: Solve for x
    x = 58,457,162.96/7,202.09
  6. Step 6: Final answer
    x = 8,116.69

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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.