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Finding the Fourth Proportional to 9,958.64, 14,934.52 and 4,415.86

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Solution

The fourth proportional to 9,958.64, 14,934.52 and 4,415.86 is: 6,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.64 : 14,934.52 = 4,415.86 : x
  2. Step 2: Convert to fraction form
    9,958.64/14,934.52 = 4,415.86/x
  3. Step 3: Cross multiply
    9,958.64x = 14,934.52 × 4,415.86
  4. Step 4: Simplify right side
    9,958.64x = 65,948,727.41
  5. Step 5: Solve for x
    x = 65,948,727.41/9,958.64
  6. Step 6: Final answer
    x = 6,622.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.