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Finding the Fourth Proportional to 6,472.74, 9,702.37 and 4,392.91

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Solution

The fourth proportional to 6,472.74, 9,702.37 and 4,392.91 is: 6,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.74 : 9,702.37 = 4,392.91 : x
  2. Step 2: Convert to fraction form
    6,472.74/9,702.37 = 4,392.91/x
  3. Step 3: Cross multiply
    6,472.74x = 9,702.37 × 4,392.91
  4. Step 4: Simplify right side
    6,472.74x = 42,621,655.82
  5. Step 5: Solve for x
    x = 42,621,655.82/6,472.74
  6. Step 6: Final answer
    x = 6,584.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.