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Finding the Fourth Proportional to 6,570.68, 9,857.59 and 2,188.17

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Solution

The fourth proportional to 6,570.68, 9,857.59 and 2,188.17 is: 3,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.68 : 9,857.59 = 2,188.17 : x
  2. Step 2: Convert to fraction form
    6,570.68/9,857.59 = 2,188.17/x
  3. Step 3: Cross multiply
    6,570.68x = 9,857.59 × 2,188.17
  4. Step 4: Simplify right side
    6,570.68x = 21,570,077.24
  5. Step 5: Solve for x
    x = 21,570,077.24/6,570.68
  6. Step 6: Final answer
    x = 3,282.78

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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.