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Finding the Fourth Proportional to 6,538.37, 9,752.63 and 5,947.88

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Solution

The fourth proportional to 6,538.37, 9,752.63 and 5,947.88 is: 8,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.37 : 9,752.63 = 5,947.88 : x
  2. Step 2: Convert to fraction form
    6,538.37/9,752.63 = 5,947.88/x
  3. Step 3: Cross multiply
    6,538.37x = 9,752.63 × 5,947.88
  4. Step 4: Simplify right side
    6,538.37x = 58,007,394.42
  5. Step 5: Solve for x
    x = 58,007,394.42/6,538.37
  6. Step 6: Final answer
    x = 8,871.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.