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Finding the Fourth Proportional to 6,593.64, 9,891.48 and 2,210.10

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Solution

The fourth proportional to 6,593.64, 9,891.48 and 2,210.10 is: 3,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.64 : 9,891.48 = 2,210.10 : x
  2. Step 2: Convert to fraction form
    6,593.64/9,891.48 = 2,210.10/x
  3. Step 3: Cross multiply
    6,593.64x = 9,891.48 × 2,210.10
  4. Step 4: Simplify right side
    6,593.64x = 21,861,159.95
  5. Step 5: Solve for x
    x = 21,861,159.95/6,593.64
  6. Step 6: Final answer
    x = 3,315.49

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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.