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Finding the Fourth Proportional to 10,373.16, 14,314.86 and 5,657.16

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Solution

The fourth proportional to 10,373.16, 14,314.86 and 5,657.16 is: 7,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.16 : 14,314.86 = 5,657.16 : x
  2. Step 2: Convert to fraction form
    10,373.16/14,314.86 = 5,657.16/x
  3. Step 3: Cross multiply
    10,373.16x = 14,314.86 × 5,657.16
  4. Step 4: Simplify right side
    10,373.16x = 80,981,453.40
  5. Step 5: Solve for x
    x = 80,981,453.40/10,373.16
  6. Step 6: Final answer
    x = 7,806.83

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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.