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Finding the Fourth Proportional to 11,955.76, 17,943 and 8,283.76

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Solution

The fourth proportional to 11,955.76, 17,943 and 8,283.76 is: 12,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.76 : 17,943 = 8,283.76 : x
  2. Step 2: Convert to fraction form
    11,955.76/17,943 = 8,283.76/x
  3. Step 3: Cross multiply
    11,955.76x = 17,943 × 8,283.76
  4. Step 4: Simplify right side
    11,955.76x = 148,635,505.68
  5. Step 5: Solve for x
    x = 148,635,505.68/11,955.76
  6. Step 6: Final answer
    x = 12,432.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.