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Finding the Fourth Proportional to 6,552.95, 9,830.39 and 2,169.43

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Solution

The fourth proportional to 6,552.95, 9,830.39 and 2,169.43 is: 3,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.95 : 9,830.39 = 2,169.43 : x
  2. Step 2: Convert to fraction form
    6,552.95/9,830.39 = 2,169.43/x
  3. Step 3: Cross multiply
    6,552.95x = 9,830.39 × 2,169.43
  4. Step 4: Simplify right side
    6,552.95x = 21,326,342.98
  5. Step 5: Solve for x
    x = 21,326,342.98/6,552.95
  6. Step 6: Final answer
    x = 3,254.46

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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.