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Finding the Fourth Proportional to 10,933, 15,087.54 and 5,965

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Solution

The fourth proportional to 10,933, 15,087.54 and 5,965 is: 8,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 15,087.54 = 5,965 : x
  2. Step 2: Convert to fraction form
    10,933/15,087.54 = 5,965/x
  3. Step 3: Cross multiply
    10,933x = 15,087.54 × 5,965
  4. Step 4: Simplify right side
    10,933x = 89,997,176.10
  5. Step 5: Solve for x
    x = 89,997,176.10/10,933
  6. Step 6: Final answer
    x = 8,231.70

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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.