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Finding the Fourth Proportional to 6,587.82, 9,881.66 and 1,657.35

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Solution

The fourth proportional to 6,587.82, 9,881.66 and 1,657.35 is: 2,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.82 : 9,881.66 = 1,657.35 : x
  2. Step 2: Convert to fraction form
    6,587.82/9,881.66 = 1,657.35/x
  3. Step 3: Cross multiply
    6,587.82x = 9,881.66 × 1,657.35
  4. Step 4: Simplify right side
    6,587.82x = 16,377,360.91
  5. Step 5: Solve for x
    x = 16,377,360.91/6,587.82
  6. Step 6: Final answer
    x = 2,486.01

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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.