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Finding the Fourth Proportional to 6,587.68, 9,881.52 and 4,548.64

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Solution

The fourth proportional to 6,587.68, 9,881.52 and 4,548.64 is: 6,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.68 : 9,881.52 = 4,548.64 : x
  2. Step 2: Convert to fraction form
    6,587.68/9,881.52 = 4,548.64/x
  3. Step 3: Cross multiply
    6,587.68x = 9,881.52 × 4,548.64
  4. Step 4: Simplify right side
    6,587.68x = 44,947,477.13
  5. Step 5: Solve for x
    x = 44,947,477.13/6,587.68
  6. Step 6: Final answer
    x = 6,822.96

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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.