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Finding the Fourth Proportional to 9,801.97, 14,702.95 and 3,560.82

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Solution

The fourth proportional to 9,801.97, 14,702.95 and 3,560.82 is: 5,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.97 : 14,702.95 = 3,560.82 : x
  2. Step 2: Convert to fraction form
    9,801.97/14,702.95 = 3,560.82/x
  3. Step 3: Cross multiply
    9,801.97x = 14,702.95 × 3,560.82
  4. Step 4: Simplify right side
    9,801.97x = 52,354,507.73
  5. Step 5: Solve for x
    x = 52,354,507.73/9,801.97
  6. Step 6: Final answer
    x = 5,341.22

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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.