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Finding the Fourth Proportional to 11,522.84, 15,901.44 and 7,331

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Solution

The fourth proportional to 11,522.84, 15,901.44 and 7,331 is: 10,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.84 : 15,901.44 = 7,331 : x
  2. Step 2: Convert to fraction form
    11,522.84/15,901.44 = 7,331/x
  3. Step 3: Cross multiply
    11,522.84x = 15,901.44 × 7,331
  4. Step 4: Simplify right side
    11,522.84x = 116,573,456.64
  5. Step 5: Solve for x
    x = 116,573,456.64/11,522.84
  6. Step 6: Final answer
    x = 10,116.73

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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.