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Finding the Fourth Proportional to 6,860.50, 9,466.50 and 3,835.66

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Solution

The fourth proportional to 6,860.50, 9,466.50 and 3,835.66 is: 5,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.50 : 9,466.50 = 3,835.66 : x
  2. Step 2: Convert to fraction form
    6,860.50/9,466.50 = 3,835.66/x
  3. Step 3: Cross multiply
    6,860.50x = 9,466.50 × 3,835.66
  4. Step 4: Simplify right side
    6,860.50x = 36,310,275.39
  5. Step 5: Solve for x
    x = 36,310,275.39/6,860.50
  6. Step 6: Final answer
    x = 5,292.66

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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.