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Finding the Fourth Proportional to 6,587.67, 9,870.33 and 3,985.14

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Solution

The fourth proportional to 6,587.67, 9,870.33 and 3,985.14 is: 5,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.67 : 9,870.33 = 3,985.14 : x
  2. Step 2: Convert to fraction form
    6,587.67/9,870.33 = 3,985.14/x
  3. Step 3: Cross multiply
    6,587.67x = 9,870.33 × 3,985.14
  4. Step 4: Simplify right side
    6,587.67x = 39,334,646.90
  5. Step 5: Solve for x
    x = 39,334,646.90/6,587.67
  6. Step 6: Final answer
    x = 5,970.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.