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Finding the Fourth Proportional to 6,567.60, 9,852.16 and 2,671.44

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Solution

The fourth proportional to 6,567.60, 9,852.16 and 2,671.44 is: 4,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.60 : 9,852.16 = 2,671.44 : x
  2. Step 2: Convert to fraction form
    6,567.60/9,852.16 = 2,671.44/x
  3. Step 3: Cross multiply
    6,567.60x = 9,852.16 × 2,671.44
  4. Step 4: Simplify right side
    6,567.60x = 26,319,454.31
  5. Step 5: Solve for x
    x = 26,319,454.31/6,567.60
  6. Step 6: Final answer
    x = 4,007.47

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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.