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Finding the Fourth Proportional to 7,194.17, 9,927.24 and 5,306.76

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Solution

The fourth proportional to 7,194.17, 9,927.24 and 5,306.76 is: 7,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.17 : 9,927.24 = 5,306.76 : x
  2. Step 2: Convert to fraction form
    7,194.17/9,927.24 = 5,306.76/x
  3. Step 3: Cross multiply
    7,194.17x = 9,927.24 × 5,306.76
  4. Step 4: Simplify right side
    7,194.17x = 52,681,480.14
  5. Step 5: Solve for x
    x = 52,681,480.14/7,194.17
  6. Step 6: Final answer
    x = 7,322.81

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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.