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Finding the Fourth Proportional to 6,570.36, 9,070.38 and 4,182.71

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Solution

The fourth proportional to 6,570.36, 9,070.38 and 4,182.71 is: 5,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.36 : 9,070.38 = 4,182.71 : x
  2. Step 2: Convert to fraction form
    6,570.36/9,070.38 = 4,182.71/x
  3. Step 3: Cross multiply
    6,570.36x = 9,070.38 × 4,182.71
  4. Step 4: Simplify right side
    6,570.36x = 37,938,723.78
  5. Step 5: Solve for x
    x = 37,938,723.78/6,570.36
  6. Step 6: Final answer
    x = 5,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.