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Finding the Fourth Proportional to 10,232.80, 14,120.80 and 5,756.80

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Solution

The fourth proportional to 10,232.80, 14,120.80 and 5,756.80 is: 7,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.80 : 14,120.80 = 5,756.80 : x
  2. Step 2: Convert to fraction form
    10,232.80/14,120.80 = 5,756.80/x
  3. Step 3: Cross multiply
    10,232.80x = 14,120.80 × 5,756.80
  4. Step 4: Simplify right side
    10,232.80x = 81,290,621.44
  5. Step 5: Solve for x
    x = 81,290,621.44/10,232.80
  6. Step 6: Final answer
    x = 7,944.12

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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.