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Finding the Fourth Proportional to 10,373, 14,314.26 and 5,657.24

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Solution

The fourth proportional to 10,373, 14,314.26 and 5,657.24 is: 7,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373 : 14,314.26 = 5,657.24 : x
  2. Step 2: Convert to fraction form
    10,373/14,314.26 = 5,657.24/x
  3. Step 3: Cross multiply
    10,373x = 14,314.26 × 5,657.24
  4. Step 4: Simplify right side
    10,373x = 80,979,204.24
  5. Step 5: Solve for x
    x = 80,979,204.24/10,373
  6. Step 6: Final answer
    x = 7,806.73

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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.