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Finding the Fourth Proportional to 6,968.76, 9,616.88 and 3,984.65

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Solution

The fourth proportional to 6,968.76, 9,616.88 and 3,984.65 is: 5,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.76 : 9,616.88 = 3,984.65 : x
  2. Step 2: Convert to fraction form
    6,968.76/9,616.88 = 3,984.65/x
  3. Step 3: Cross multiply
    6,968.76x = 9,616.88 × 3,984.65
  4. Step 4: Simplify right side
    6,968.76x = 38,319,900.89
  5. Step 5: Solve for x
    x = 38,319,900.89/6,968.76
  6. Step 6: Final answer
    x = 5,498.81

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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.