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Finding the Fourth Proportional to 6,581.14, 9,873.43 and 2,884.10

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Solution

The fourth proportional to 6,581.14, 9,873.43 and 2,884.10 is: 4,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.14 : 9,873.43 = 2,884.10 : x
  2. Step 2: Convert to fraction form
    6,581.14/9,873.43 = 2,884.10/x
  3. Step 3: Cross multiply
    6,581.14x = 9,873.43 × 2,884.10
  4. Step 4: Simplify right side
    6,581.14x = 28,475,902.89
  5. Step 5: Solve for x
    x = 28,475,902.89/6,581.14
  6. Step 6: Final answer
    x = 4,326.90

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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.