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Finding the Fourth Proportional to 9,146.77, 12,614.64 and 5,958.86

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Solution

The fourth proportional to 9,146.77, 12,614.64 and 5,958.86 is: 8,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.77 : 12,614.64 = 5,958.86 : x
  2. Step 2: Convert to fraction form
    9,146.77/12,614.64 = 5,958.86/x
  3. Step 3: Cross multiply
    9,146.77x = 12,614.64 × 5,958.86
  4. Step 4: Simplify right side
    9,146.77x = 75,168,873.71
  5. Step 5: Solve for x
    x = 75,168,873.71/9,146.77
  6. Step 6: Final answer
    x = 8,218.08

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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.