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Finding the Fourth Proportional to 6,563, 9,844.50 and 6,397.76

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Solution

The fourth proportional to 6,563, 9,844.50 and 6,397.76 is: 9,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563 : 9,844.50 = 6,397.76 : x
  2. Step 2: Convert to fraction form
    6,563/9,844.50 = 6,397.76/x
  3. Step 3: Cross multiply
    6,563x = 9,844.50 × 6,397.76
  4. Step 4: Simplify right side
    6,563x = 62,982,748.32
  5. Step 5: Solve for x
    x = 62,982,748.32/6,563
  6. Step 6: Final answer
    x = 9,596.64

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