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Finding the Fourth Proportional to 6,570, 9,852.52 and 2,186.80

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Solution

The fourth proportional to 6,570, 9,852.52 and 2,186.80 is: 3,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 9,852.52 = 2,186.80 : x
  2. Step 2: Convert to fraction form
    6,570/9,852.52 = 2,186.80/x
  3. Step 3: Cross multiply
    6,570x = 9,852.52 × 2,186.80
  4. Step 4: Simplify right side
    6,570x = 21,545,490.74
  5. Step 5: Solve for x
    x = 21,545,490.74/6,570
  6. Step 6: Final answer
    x = 3,279.37

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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.