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Finding the Fourth Proportional to 6,898.57, 9,507.71 and 5,631.46

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Solution

The fourth proportional to 6,898.57, 9,507.71 and 5,631.46 is: 7,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.57 : 9,507.71 = 5,631.46 : x
  2. Step 2: Convert to fraction form
    6,898.57/9,507.71 = 5,631.46/x
  3. Step 3: Cross multiply
    6,898.57x = 9,507.71 × 5,631.46
  4. Step 4: Simplify right side
    6,898.57x = 53,542,278.87
  5. Step 5: Solve for x
    x = 53,542,278.87/6,898.57
  6. Step 6: Final answer
    x = 7,761.36

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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.