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Finding the Fourth Proportional to 10,375.56, 14,321.34 and 7,232.76

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Solution

The fourth proportional to 10,375.56, 14,321.34 and 7,232.76 is: 9,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.56 : 14,321.34 = 7,232.76 : x
  2. Step 2: Convert to fraction form
    10,375.56/14,321.34 = 7,232.76/x
  3. Step 3: Cross multiply
    10,375.56x = 14,321.34 × 7,232.76
  4. Step 4: Simplify right side
    10,375.56x = 103,582,815.10
  5. Step 5: Solve for x
    x = 103,582,815.10/10,375.56
  6. Step 6: Final answer
    x = 9,983.35

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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.