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Finding the Fourth Proportional to 8,304.16, 11,436.24 and 7,647.52

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Solution

The fourth proportional to 8,304.16, 11,436.24 and 7,647.52 is: 10,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.16 : 11,436.24 = 7,647.52 : x
  2. Step 2: Convert to fraction form
    8,304.16/11,436.24 = 7,647.52/x
  3. Step 3: Cross multiply
    8,304.16x = 11,436.24 × 7,647.52
  4. Step 4: Simplify right side
    8,304.16x = 87,458,874.12
  5. Step 5: Solve for x
    x = 87,458,874.12/8,304.16
  6. Step 6: Final answer
    x = 10,531.94

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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.