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Finding the Fourth Proportional to 10,357.14, 15,523.38 and 5,965.50

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Solution

The fourth proportional to 10,357.14, 15,523.38 and 5,965.50 is: 8,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.14 : 15,523.38 = 5,965.50 : x
  2. Step 2: Convert to fraction form
    10,357.14/15,523.38 = 5,965.50/x
  3. Step 3: Cross multiply
    10,357.14x = 15,523.38 × 5,965.50
  4. Step 4: Simplify right side
    10,357.14x = 92,604,723.39
  5. Step 5: Solve for x
    x = 92,604,723.39/10,357.14
  6. Step 6: Final answer
    x = 8,941.15

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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.