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Finding the Fourth Proportional to 6,986.08, 9,640.68 and 3,842.40

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Solution

The fourth proportional to 6,986.08, 9,640.68 and 3,842.40 is: 5,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.08 : 9,640.68 = 3,842.40 : x
  2. Step 2: Convert to fraction form
    6,986.08/9,640.68 = 3,842.40/x
  3. Step 3: Cross multiply
    6,986.08x = 9,640.68 × 3,842.40
  4. Step 4: Simplify right side
    6,986.08x = 37,043,348.83
  5. Step 5: Solve for x
    x = 37,043,348.83/6,986.08
  6. Step 6: Final answer
    x = 5,302.45

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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.