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Finding the Fourth Proportional to 6,473.70, 8,932.19 and 4,702.23

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Solution

The fourth proportional to 6,473.70, 8,932.19 and 4,702.23 is: 6,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.70 : 8,932.19 = 4,702.23 : x
  2. Step 2: Convert to fraction form
    6,473.70/8,932.19 = 4,702.23/x
  3. Step 3: Cross multiply
    6,473.70x = 8,932.19 × 4,702.23
  4. Step 4: Simplify right side
    6,473.70x = 42,001,211.78
  5. Step 5: Solve for x
    x = 42,001,211.78/6,473.70
  6. Step 6: Final answer
    x = 6,487.98

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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.