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Finding the Fourth Proportional to 8,292.90, 11,455.44 and 7,702.44

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Solution

The fourth proportional to 8,292.90, 11,455.44 and 7,702.44 is: 10,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.90 : 11,455.44 = 7,702.44 : x
  2. Step 2: Convert to fraction form
    8,292.90/11,455.44 = 7,702.44/x
  3. Step 3: Cross multiply
    8,292.90x = 11,455.44 × 7,702.44
  4. Step 4: Simplify right side
    8,292.90x = 88,234,839.27
  5. Step 5: Solve for x
    x = 88,234,839.27/8,292.90
  6. Step 6: Final answer
    x = 10,639.81

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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.