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Finding the Fourth Proportional to 15,183.74, 22,787.76 and 6,424.76

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Solution

The fourth proportional to 15,183.74, 22,787.76 and 6,424.76 is: 9,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.74 : 22,787.76 = 6,424.76 : x
  2. Step 2: Convert to fraction form
    15,183.74/22,787.76 = 6,424.76/x
  3. Step 3: Cross multiply
    15,183.74x = 22,787.76 × 6,424.76
  4. Step 4: Simplify right side
    15,183.74x = 146,405,888.94
  5. Step 5: Solve for x
    x = 146,405,888.94/15,183.74
  6. Step 6: Final answer
    x = 9,642.28

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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.