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Finding the Fourth Proportional to 9,656.96, 14,475.65 and 3,415.50

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Solution

The fourth proportional to 9,656.96, 14,475.65 and 3,415.50 is: 5,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.96 : 14,475.65 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    9,656.96/14,475.65 = 3,415.50/x
  3. Step 3: Cross multiply
    9,656.96x = 14,475.65 × 3,415.50
  4. Step 4: Simplify right side
    9,656.96x = 49,441,565.50
  5. Step 5: Solve for x
    x = 49,441,565.50/9,656.96
  6. Step 6: Final answer
    x = 5,119.79

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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.