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Finding the Fourth Proportional to 9,486.91, 14,193.10 and 8,378.83

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Solution

The fourth proportional to 9,486.91, 14,193.10 and 8,378.83 is: 12,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.91 : 14,193.10 = 8,378.83 : x
  2. Step 2: Convert to fraction form
    9,486.91/14,193.10 = 8,378.83/x
  3. Step 3: Cross multiply
    9,486.91x = 14,193.10 × 8,378.83
  4. Step 4: Simplify right side
    9,486.91x = 118,921,572.07
  5. Step 5: Solve for x
    x = 118,921,572.07/9,486.91
  6. Step 6: Final answer
    x = 12,535.33

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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.