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Finding the Fourth Proportional to 6,854.86, 10,232.66 and 6,024.49

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Solution

The fourth proportional to 6,854.86, 10,232.66 and 6,024.49 is: 8,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.86 : 10,232.66 = 6,024.49 : x
  2. Step 2: Convert to fraction form
    6,854.86/10,232.66 = 6,024.49/x
  3. Step 3: Cross multiply
    6,854.86x = 10,232.66 × 6,024.49
  4. Step 4: Simplify right side
    6,854.86x = 61,646,557.84
  5. Step 5: Solve for x
    x = 61,646,557.84/6,854.86
  6. Step 6: Final answer
    x = 8,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.