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Finding the Fourth Proportional to 6,923.77, 9,557.89 and 5,387.22

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Solution

The fourth proportional to 6,923.77, 9,557.89 and 5,387.22 is: 7,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.77 : 9,557.89 = 5,387.22 : x
  2. Step 2: Convert to fraction form
    6,923.77/9,557.89 = 5,387.22/x
  3. Step 3: Cross multiply
    6,923.77x = 9,557.89 × 5,387.22
  4. Step 4: Simplify right side
    6,923.77x = 51,490,422.17
  5. Step 5: Solve for x
    x = 51,490,422.17/6,923.77
  6. Step 6: Final answer
    x = 7,436.76

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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.