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Finding the Fourth Proportional to 6,587.58, 9,881.40 and 2,205

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Solution

The fourth proportional to 6,587.58, 9,881.40 and 2,205 is: 3,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.58 : 9,881.40 = 2,205 : x
  2. Step 2: Convert to fraction form
    6,587.58/9,881.40 = 2,205/x
  3. Step 3: Cross multiply
    6,587.58x = 9,881.40 × 2,205
  4. Step 4: Simplify right side
    6,587.58x = 21,788,487
  5. Step 5: Solve for x
    x = 21,788,487/6,587.58
  6. Step 6: Final answer
    x = 3,307.51

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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.