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Finding the Fourth Proportional to 6,570.07, 9,852.78 and 2,186.35

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Solution

The fourth proportional to 6,570.07, 9,852.78 and 2,186.35 is: 3,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.07 : 9,852.78 = 2,186.35 : x
  2. Step 2: Convert to fraction form
    6,570.07/9,852.78 = 2,186.35/x
  3. Step 3: Cross multiply
    6,570.07x = 9,852.78 × 2,186.35
  4. Step 4: Simplify right side
    6,570.07x = 21,541,625.55
  5. Step 5: Solve for x
    x = 21,541,625.55/6,570.07
  6. Step 6: Final answer
    x = 3,278.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.