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Finding the Fourth Proportional to 9,342.64, 14,019.60 and 5,398.96

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Solution

The fourth proportional to 9,342.64, 14,019.60 and 5,398.96 is: 8,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.64 : 14,019.60 = 5,398.96 : x
  2. Step 2: Convert to fraction form
    9,342.64/14,019.60 = 5,398.96/x
  3. Step 3: Cross multiply
    9,342.64x = 14,019.60 × 5,398.96
  4. Step 4: Simplify right side
    9,342.64x = 75,691,259.62
  5. Step 5: Solve for x
    x = 75,691,259.62/9,342.64
  6. Step 6: Final answer
    x = 8,101.70

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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.