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Finding the Fourth Proportional to 10,589.06, 14,613 and 5,873.24

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Solution

The fourth proportional to 10,589.06, 14,613 and 5,873.24 is: 8,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.06 : 14,613 = 5,873.24 : x
  2. Step 2: Convert to fraction form
    10,589.06/14,613 = 5,873.24/x
  3. Step 3: Cross multiply
    10,589.06x = 14,613 × 5,873.24
  4. Step 4: Simplify right side
    10,589.06x = 85,825,656.12
  5. Step 5: Solve for x
    x = 85,825,656.12/10,589.06
  6. Step 6: Final answer
    x = 8,105.13

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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.