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Finding the Fourth Proportional to 6,859, 9,462.99 and 4,203.55

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Solution

The fourth proportional to 6,859, 9,462.99 and 4,203.55 is: 5,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859 : 9,462.99 = 4,203.55 : x
  2. Step 2: Convert to fraction form
    6,859/9,462.99 = 4,203.55/x
  3. Step 3: Cross multiply
    6,859x = 9,462.99 × 4,203.55
  4. Step 4: Simplify right side
    6,859x = 39,778,151.61
  5. Step 5: Solve for x
    x = 39,778,151.61/6,859
  6. Step 6: Final answer
    x = 5,799.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.