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Finding the Fourth Proportional to 11,602.56, 16,014.02 and 9,079.68

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Solution

The fourth proportional to 11,602.56, 16,014.02 and 9,079.68 is: 12,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.56 : 16,014.02 = 9,079.68 : x
  2. Step 2: Convert to fraction form
    11,602.56/16,014.02 = 9,079.68/x
  3. Step 3: Cross multiply
    11,602.56x = 16,014.02 × 9,079.68
  4. Step 4: Simplify right side
    11,602.56x = 145,402,177.11
  5. Step 5: Solve for x
    x = 145,402,177.11/11,602.56
  6. Step 6: Final answer
    x = 12,531.90

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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.