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Finding the Fourth Proportional to 7,800.97, 11,702.56 and 2,534.30

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Solution

The fourth proportional to 7,800.97, 11,702.56 and 2,534.30 is: 3,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.97 : 11,702.56 = 2,534.30 : x
  2. Step 2: Convert to fraction form
    7,800.97/11,702.56 = 2,534.30/x
  3. Step 3: Cross multiply
    7,800.97x = 11,702.56 × 2,534.30
  4. Step 4: Simplify right side
    7,800.97x = 29,657,739.30
  5. Step 5: Solve for x
    x = 29,657,739.30/7,800.97
  6. Step 6: Final answer
    x = 3,801.80

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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.