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Finding the Fourth Proportional to 6,170.46, 9,256.65 and 2,065.50

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Solution

The fourth proportional to 6,170.46, 9,256.65 and 2,065.50 is: 3,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.46 : 9,256.65 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    6,170.46/9,256.65 = 2,065.50/x
  3. Step 3: Cross multiply
    6,170.46x = 9,256.65 × 2,065.50
  4. Step 4: Simplify right side
    6,170.46x = 19,119,610.58
  5. Step 5: Solve for x
    x = 19,119,610.58/6,170.46
  6. Step 6: Final answer
    x = 3,098.57

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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.