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Finding the Fourth Proportional to 15,283.50, 22,925.28 and 6,049.50

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Solution

The fourth proportional to 15,283.50, 22,925.28 and 6,049.50 is: 9,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.50 : 22,925.28 = 6,049.50 : x
  2. Step 2: Convert to fraction form
    15,283.50/22,925.28 = 6,049.50/x
  3. Step 3: Cross multiply
    15,283.50x = 22,925.28 × 6,049.50
  4. Step 4: Simplify right side
    15,283.50x = 138,686,481.36
  5. Step 5: Solve for x
    x = 138,686,481.36/15,283.50
  6. Step 6: Final answer
    x = 9,074.26

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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.