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Finding the Fourth Proportional to 9,543.15, 14,299.07 and 9,178.65

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Solution

The fourth proportional to 9,543.15, 14,299.07 and 9,178.65 is: 13,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.15 : 14,299.07 = 9,178.65 : x
  2. Step 2: Convert to fraction form
    9,543.15/14,299.07 = 9,178.65/x
  3. Step 3: Cross multiply
    9,543.15x = 14,299.07 × 9,178.65
  4. Step 4: Simplify right side
    9,543.15x = 131,246,112.96
  5. Step 5: Solve for x
    x = 131,246,112.96/9,543.15
  6. Step 6: Final answer
    x = 13,752.91

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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.