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Finding the Fourth Proportional to 9,689.76, 13,371.48 and 5,711.04

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Solution

The fourth proportional to 9,689.76, 13,371.48 and 5,711.04 is: 7,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.76 : 13,371.48 = 5,711.04 : x
  2. Step 2: Convert to fraction form
    9,689.76/13,371.48 = 5,711.04/x
  3. Step 3: Cross multiply
    9,689.76x = 13,371.48 × 5,711.04
  4. Step 4: Simplify right side
    9,689.76x = 76,365,057.14
  5. Step 5: Solve for x
    x = 76,365,057.14/9,689.76
  6. Step 6: Final answer
    x = 7,881.01

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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.