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Finding the Fourth Proportional to 9,097.40, 13,646.10 and 8,003.90

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Solution

The fourth proportional to 9,097.40, 13,646.10 and 8,003.90 is: 12,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.40 : 13,646.10 = 8,003.90 : x
  2. Step 2: Convert to fraction form
    9,097.40/13,646.10 = 8,003.90/x
  3. Step 3: Cross multiply
    9,097.40x = 13,646.10 × 8,003.90
  4. Step 4: Simplify right side
    9,097.40x = 109,222,019.79
  5. Step 5: Solve for x
    x = 109,222,019.79/9,097.40
  6. Step 6: Final answer
    x = 12,005.85

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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.