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Finding the Fourth Proportional to 8,036.39, 12,073.11 and 7,704.24

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Solution

The fourth proportional to 8,036.39, 12,073.11 and 7,704.24 is: 11,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.39 : 12,073.11 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    8,036.39/12,073.11 = 7,704.24/x
  3. Step 3: Cross multiply
    8,036.39x = 12,073.11 × 7,704.24
  4. Step 4: Simplify right side
    8,036.39x = 93,014,062.82
  5. Step 5: Solve for x
    x = 93,014,062.82/8,036.39
  6. Step 6: Final answer
    x = 11,574.12

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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.