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Finding the Fourth Proportional to 10,617.42, 14,651.15 and 5,837.11

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Solution

The fourth proportional to 10,617.42, 14,651.15 and 5,837.11 is: 8,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.42 : 14,651.15 = 5,837.11 : x
  2. Step 2: Convert to fraction form
    10,617.42/14,651.15 = 5,837.11/x
  3. Step 3: Cross multiply
    10,617.42x = 14,651.15 × 5,837.11
  4. Step 4: Simplify right side
    10,617.42x = 85,520,308.36
  5. Step 5: Solve for x
    x = 85,520,308.36/10,617.42
  6. Step 6: Final answer
    x = 8,054.71

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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.