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Finding the Fourth Proportional to 6,349.60, 9,518.90 and 3,065

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Solution

The fourth proportional to 6,349.60, 9,518.90 and 3,065 is: 4,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.60 : 9,518.90 = 3,065 : x
  2. Step 2: Convert to fraction form
    6,349.60/9,518.90 = 3,065/x
  3. Step 3: Cross multiply
    6,349.60x = 9,518.90 × 3,065
  4. Step 4: Simplify right side
    6,349.60x = 29,175,428.50
  5. Step 5: Solve for x
    x = 29,175,428.50/6,349.60
  6. Step 6: Final answer
    x = 4,594.85

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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.