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Finding the Fourth Proportional to 6,998.65, 10,498.52 and 2,318.47

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Solution

The fourth proportional to 6,998.65, 10,498.52 and 2,318.47 is: 3,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.65 : 10,498.52 = 2,318.47 : x
  2. Step 2: Convert to fraction form
    6,998.65/10,498.52 = 2,318.47/x
  3. Step 3: Cross multiply
    6,998.65x = 10,498.52 × 2,318.47
  4. Step 4: Simplify right side
    6,998.65x = 24,340,483.21
  5. Step 5: Solve for x
    x = 24,340,483.21/6,998.65
  6. Step 6: Final answer
    x = 3,477.88

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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.