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Finding the Fourth Proportional to 11,570.74, 15,961.80 and 7,591.30

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Solution

The fourth proportional to 11,570.74, 15,961.80 and 7,591.30 is: 10,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.74 : 15,961.80 = 7,591.30 : x
  2. Step 2: Convert to fraction form
    11,570.74/15,961.80 = 7,591.30/x
  3. Step 3: Cross multiply
    11,570.74x = 15,961.80 × 7,591.30
  4. Step 4: Simplify right side
    11,570.74x = 121,170,812.34
  5. Step 5: Solve for x
    x = 121,170,812.34/11,570.74
  6. Step 6: Final answer
    x = 10,472.17

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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.