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Finding the Fourth Proportional to 9,895.38, 13,654.22 and 5,647.20

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Solution

The fourth proportional to 9,895.38, 13,654.22 and 5,647.20 is: 7,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.38 : 13,654.22 = 5,647.20 : x
  2. Step 2: Convert to fraction form
    9,895.38/13,654.22 = 5,647.20/x
  3. Step 3: Cross multiply
    9,895.38x = 13,654.22 × 5,647.20
  4. Step 4: Simplify right side
    9,895.38x = 77,108,082.95
  5. Step 5: Solve for x
    x = 77,108,082.95/9,895.38
  6. Step 6: Final answer
    x = 7,792.33

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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.