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Finding the Fourth Proportional to 10,690.32, 14,752.84 and 5,975.12

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Solution

The fourth proportional to 10,690.32, 14,752.84 and 5,975.12 is: 8,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.32 : 14,752.84 = 5,975.12 : x
  2. Step 2: Convert to fraction form
    10,690.32/14,752.84 = 5,975.12/x
  3. Step 3: Cross multiply
    10,690.32x = 14,752.84 × 5,975.12
  4. Step 4: Simplify right side
    10,690.32x = 88,149,989.34
  5. Step 5: Solve for x
    x = 88,149,989.34/10,690.32
  6. Step 6: Final answer
    x = 8,245.78

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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.