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Finding the Fourth Proportional to 6,502.86, 9,752.49 and 1,822.57

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Solution

The fourth proportional to 6,502.86, 9,752.49 and 1,822.57 is: 2,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.86 : 9,752.49 = 1,822.57 : x
  2. Step 2: Convert to fraction form
    6,502.86/9,752.49 = 1,822.57/x
  3. Step 3: Cross multiply
    6,502.86x = 9,752.49 × 1,822.57
  4. Step 4: Simplify right side
    6,502.86x = 17,774,571.32
  5. Step 5: Solve for x
    x = 17,774,571.32/6,502.86
  6. Step 6: Final answer
    x = 2,733.35

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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.