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Finding the Fourth Proportional to 6,473.14, 9,702.11 and 6,403.88

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Solution

The fourth proportional to 6,473.14, 9,702.11 and 6,403.88 is: 9,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.14 : 9,702.11 = 6,403.88 : x
  2. Step 2: Convert to fraction form
    6,473.14/9,702.11 = 6,403.88/x
  3. Step 3: Cross multiply
    6,473.14x = 9,702.11 × 6,403.88
  4. Step 4: Simplify right side
    6,473.14x = 62,131,188.45
  5. Step 5: Solve for x
    x = 62,131,188.45/6,473.14
  6. Step 6: Final answer
    x = 9,598.31

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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.