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Finding the Fourth Proportional to 10,959.60, 15,123.04 and 6,711.74

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Solution

The fourth proportional to 10,959.60, 15,123.04 and 6,711.74 is: 9,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.60 : 15,123.04 = 6,711.74 : x
  2. Step 2: Convert to fraction form
    10,959.60/15,123.04 = 6,711.74/x
  3. Step 3: Cross multiply
    10,959.60x = 15,123.04 × 6,711.74
  4. Step 4: Simplify right side
    10,959.60x = 101,501,912.49
  5. Step 5: Solve for x
    x = 101,501,912.49/10,959.60
  6. Step 6: Final answer
    x = 9,261.46

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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.