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Finding the Fourth Proportional to 10,561.91, 15,868.04 and 6,182.42

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Solution

The fourth proportional to 10,561.91, 15,868.04 and 6,182.42 is: 9,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.91 : 15,868.04 = 6,182.42 : x
  2. Step 2: Convert to fraction form
    10,561.91/15,868.04 = 6,182.42/x
  3. Step 3: Cross multiply
    10,561.91x = 15,868.04 × 6,182.42
  4. Step 4: Simplify right side
    10,561.91x = 98,102,777.60
  5. Step 5: Solve for x
    x = 98,102,777.60/10,561.91
  6. Step 6: Final answer
    x = 9,288.36

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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.