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Finding the Fourth Proportional to 10,690.75, 14,752.96 and 5,975.07

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Solution

The fourth proportional to 10,690.75, 14,752.96 and 5,975.07 is: 8,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.75 : 14,752.96 = 5,975.07 : x
  2. Step 2: Convert to fraction form
    10,690.75/14,752.96 = 5,975.07/x
  3. Step 3: Cross multiply
    10,690.75x = 14,752.96 × 5,975.07
  4. Step 4: Simplify right side
    10,690.75x = 88,149,968.71
  5. Step 5: Solve for x
    x = 88,149,968.71/10,690.75
  6. Step 6: Final answer
    x = 8,245.44

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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.