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Finding the Fourth Proportional to 6,986.46, 9,641.12 and 3,842.65

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Solution

The fourth proportional to 6,986.46, 9,641.12 and 3,842.65 is: 5,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.46 : 9,641.12 = 3,842.65 : x
  2. Step 2: Convert to fraction form
    6,986.46/9,641.12 = 3,842.65/x
  3. Step 3: Cross multiply
    6,986.46x = 9,641.12 × 3,842.65
  4. Step 4: Simplify right side
    6,986.46x = 37,047,449.77
  5. Step 5: Solve for x
    x = 37,047,449.77/6,986.46
  6. Step 6: Final answer
    x = 5,302.75

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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.