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Finding the Fourth Proportional to 6,502.60, 9,752.82 and 2,341.84

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Solution

The fourth proportional to 6,502.60, 9,752.82 and 2,341.84 is: 3,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.60 : 9,752.82 = 2,341.84 : x
  2. Step 2: Convert to fraction form
    6,502.60/9,752.82 = 2,341.84/x
  3. Step 3: Cross multiply
    6,502.60x = 9,752.82 × 2,341.84
  4. Step 4: Simplify right side
    6,502.60x = 22,839,543.99
  5. Step 5: Solve for x
    x = 22,839,543.99/6,502.60
  6. Step 6: Final answer
    x = 3,512.37

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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.