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Finding the Fourth Proportional to 10,375.32, 14,313.36 and 7,016.90

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Solution

The fourth proportional to 10,375.32, 14,313.36 and 7,016.90 is: 9,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.32 : 14,313.36 = 7,016.90 : x
  2. Step 2: Convert to fraction form
    10,375.32/14,313.36 = 7,016.90/x
  3. Step 3: Cross multiply
    10,375.32x = 14,313.36 × 7,016.90
  4. Step 4: Simplify right side
    10,375.32x = 100,435,415.78
  5. Step 5: Solve for x
    x = 100,435,415.78/10,375.32
  6. Step 6: Final answer
    x = 9,680.22

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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.