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Finding the Fourth Proportional to 6,986.68, 9,641.58 and 3,842.68

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Solution

The fourth proportional to 6,986.68, 9,641.58 and 3,842.68 is: 5,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.68 : 9,641.58 = 3,842.68 : x
  2. Step 2: Convert to fraction form
    6,986.68/9,641.58 = 3,842.68/x
  3. Step 3: Cross multiply
    6,986.68x = 9,641.58 × 3,842.68
  4. Step 4: Simplify right side
    6,986.68x = 37,049,506.63
  5. Step 5: Solve for x
    x = 37,049,506.63/6,986.68
  6. Step 6: Final answer
    x = 5,302.88

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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.