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Finding the Fourth Proportional to 9,701.92, 13,384.26 and 5,721.17

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Solution

The fourth proportional to 9,701.92, 13,384.26 and 5,721.17 is: 7,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.92 : 13,384.26 = 5,721.17 : x
  2. Step 2: Convert to fraction form
    9,701.92/13,384.26 = 5,721.17/x
  3. Step 3: Cross multiply
    9,701.92x = 13,384.26 × 5,721.17
  4. Step 4: Simplify right side
    9,701.92x = 76,573,660.24
  5. Step 5: Solve for x
    x = 76,573,660.24/9,701.92
  6. Step 6: Final answer
    x = 7,892.63

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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.