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Finding the Fourth Proportional to 6,988.92, 10,484.42 and 2,309.43

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Solution

The fourth proportional to 6,988.92, 10,484.42 and 2,309.43 is: 3,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.92 : 10,484.42 = 2,309.43 : x
  2. Step 2: Convert to fraction form
    6,988.92/10,484.42 = 2,309.43/x
  3. Step 3: Cross multiply
    6,988.92x = 10,484.42 × 2,309.43
  4. Step 4: Simplify right side
    6,988.92x = 24,213,034.08
  5. Step 5: Solve for x
    x = 24,213,034.08/6,988.92
  6. Step 6: Final answer
    x = 3,464.49

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1.5x scale

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.