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Finding the Fourth Proportional to 9,912.11, 13,678.68 and 5,721.17

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Solution

The fourth proportional to 9,912.11, 13,678.68 and 5,721.17 is: 7,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.11 : 13,678.68 = 5,721.17 : x
  2. Step 2: Convert to fraction form
    9,912.11/13,678.68 = 5,721.17/x
  3. Step 3: Cross multiply
    9,912.11x = 13,678.68 × 5,721.17
  4. Step 4: Simplify right side
    9,912.11x = 78,257,985.26
  5. Step 5: Solve for x
    x = 78,257,985.26/9,912.11
  6. Step 6: Final answer
    x = 7,895.19

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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.