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Finding the Fourth Proportional to 6,348.48, 9,522.72 and 1,965.98

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Solution

The fourth proportional to 6,348.48, 9,522.72 and 1,965.98 is: 2,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.48 : 9,522.72 = 1,965.98 : x
  2. Step 2: Convert to fraction form
    6,348.48/9,522.72 = 1,965.98/x
  3. Step 3: Cross multiply
    6,348.48x = 9,522.72 × 1,965.98
  4. Step 4: Simplify right side
    6,348.48x = 18,721,429.45
  5. Step 5: Solve for x
    x = 18,721,429.45/6,348.48
  6. Step 6: Final answer
    x = 2,948.96

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Similar ratio
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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.