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Finding the Fourth Proportional to 8,092.80, 12,140.16 and 2,897.28

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Solution

The fourth proportional to 8,092.80, 12,140.16 and 2,897.28 is: 4,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.80 : 12,140.16 = 2,897.28 : x
  2. Step 2: Convert to fraction form
    8,092.80/12,140.16 = 2,897.28/x
  3. Step 3: Cross multiply
    8,092.80x = 12,140.16 × 2,897.28
  4. Step 4: Simplify right side
    8,092.80x = 35,173,442.76
  5. Step 5: Solve for x
    x = 35,173,442.76/8,092.80
  6. Step 6: Final answer
    x = 4,346.26

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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.