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Finding the Fourth Proportional to 10,095.68, 13,923.84 and 8,311.52

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Solution

The fourth proportional to 10,095.68, 13,923.84 and 8,311.52 is: 11,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.68 : 13,923.84 = 8,311.52 : x
  2. Step 2: Convert to fraction form
    10,095.68/13,923.84 = 8,311.52/x
  3. Step 3: Cross multiply
    10,095.68x = 13,923.84 × 8,311.52
  4. Step 4: Simplify right side
    10,095.68x = 115,728,274.64
  5. Step 5: Solve for x
    x = 115,728,274.64/10,095.68
  6. Step 6: Final answer
    x = 11,463.15

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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.