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Finding the Fourth Proportional to 11,571.92, 15,970.02 and 6,534.38

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Solution

The fourth proportional to 11,571.92, 15,970.02 and 6,534.38 is: 9,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.92 : 15,970.02 = 6,534.38 : x
  2. Step 2: Convert to fraction form
    11,571.92/15,970.02 = 6,534.38/x
  3. Step 3: Cross multiply
    11,571.92x = 15,970.02 × 6,534.38
  4. Step 4: Simplify right side
    11,571.92x = 104,354,179.29
  5. Step 5: Solve for x
    x = 104,354,179.29/11,571.92
  6. Step 6: Final answer
    x = 9,017.88

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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.