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Finding the Fourth Proportional to 6,357.27, 8,767.84 and 4,475.10

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Solution

The fourth proportional to 6,357.27, 8,767.84 and 4,475.10 is: 6,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.27 : 8,767.84 = 4,475.10 : x
  2. Step 2: Convert to fraction form
    6,357.27/8,767.84 = 4,475.10/x
  3. Step 3: Cross multiply
    6,357.27x = 8,767.84 × 4,475.10
  4. Step 4: Simplify right side
    6,357.27x = 39,236,960.78
  5. Step 5: Solve for x
    x = 39,236,960.78/6,357.27
  6. Step 6: Final answer
    x = 6,171.98

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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.