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Finding the Fourth Proportional to 15,151.92, 22,728.84 and 4,764.08

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Solution

The fourth proportional to 15,151.92, 22,728.84 and 4,764.08 is: 7,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.92 : 22,728.84 = 4,764.08 : x
  2. Step 2: Convert to fraction form
    15,151.92/22,728.84 = 4,764.08/x
  3. Step 3: Cross multiply
    15,151.92x = 22,728.84 × 4,764.08
  4. Step 4: Simplify right side
    15,151.92x = 108,282,012.07
  5. Step 5: Solve for x
    x = 108,282,012.07/15,151.92
  6. Step 6: Final answer
    x = 7,146.42

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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.