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Finding the Fourth Proportional to 10,589.65, 14,613.94 and 6,340.90

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Solution

The fourth proportional to 10,589.65, 14,613.94 and 6,340.90 is: 8,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.65 : 14,613.94 = 6,340.90 : x
  2. Step 2: Convert to fraction form
    10,589.65/14,613.94 = 6,340.90/x
  3. Step 3: Cross multiply
    10,589.65x = 14,613.94 × 6,340.90
  4. Step 4: Simplify right side
    10,589.65x = 92,665,495.27
  5. Step 5: Solve for x
    x = 92,665,495.27/10,589.65
  6. Step 6: Final answer
    x = 8,750.57

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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.