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Finding the Fourth Proportional to 6,596.38, 9,870.23 and 3,965.48

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Solution

The fourth proportional to 6,596.38, 9,870.23 and 3,965.48 is: 5,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.38 : 9,870.23 = 3,965.48 : x
  2. Step 2: Convert to fraction form
    6,596.38/9,870.23 = 3,965.48/x
  3. Step 3: Cross multiply
    6,596.38x = 9,870.23 × 3,965.48
  4. Step 4: Simplify right side
    6,596.38x = 39,140,199.66
  5. Step 5: Solve for x
    x = 39,140,199.66/6,596.38
  6. Step 6: Final answer
    x = 5,933.59

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1.5x scale

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.