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Finding the Fourth Proportional to 6,470.96, 9,705.69 and 3,349.22

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Solution

The fourth proportional to 6,470.96, 9,705.69 and 3,349.22 is: 5,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.96 : 9,705.69 = 3,349.22 : x
  2. Step 2: Convert to fraction form
    6,470.96/9,705.69 = 3,349.22/x
  3. Step 3: Cross multiply
    6,470.96x = 9,705.69 × 3,349.22
  4. Step 4: Simplify right side
    6,470.96x = 32,506,442.53
  5. Step 5: Solve for x
    x = 32,506,442.53/6,470.96
  6. Step 6: Final answer
    x = 5,023.44

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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.