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Finding the Fourth Proportional to 9,188.60, 12,679.90 and 5,411.93

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Solution

The fourth proportional to 9,188.60, 12,679.90 and 5,411.93 is: 7,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.60 : 12,679.90 = 5,411.93 : x
  2. Step 2: Convert to fraction form
    9,188.60/12,679.90 = 5,411.93/x
  3. Step 3: Cross multiply
    9,188.60x = 12,679.90 × 5,411.93
  4. Step 4: Simplify right side
    9,188.60x = 68,622,654.28
  5. Step 5: Solve for x
    x = 68,622,654.28/9,188.60
  6. Step 6: Final answer
    x = 7,468.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.