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Finding the Fourth Proportional to 9,108.90, 13,822.20 and 9,108.90

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Solution

The fourth proportional to 9,108.90, 13,822.20 and 9,108.90 is: 13,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.90 : 13,822.20 = 9,108.90 : x
  2. Step 2: Convert to fraction form
    9,108.90/13,822.20 = 9,108.90/x
  3. Step 3: Cross multiply
    9,108.90x = 13,822.20 × 9,108.90
  4. Step 4: Simplify right side
    9,108.90x = 125,905,037.58
  5. Step 5: Solve for x
    x = 125,905,037.58/9,108.90
  6. Step 6: Final answer
    x = 13,822.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.