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Finding the Fourth Proportional to 6,151.54, 9,226.17 and 1,648.65

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Solution

The fourth proportional to 6,151.54, 9,226.17 and 1,648.65 is: 2,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.54 : 9,226.17 = 1,648.65 : x
  2. Step 2: Convert to fraction form
    6,151.54/9,226.17 = 1,648.65/x
  3. Step 3: Cross multiply
    6,151.54x = 9,226.17 × 1,648.65
  4. Step 4: Simplify right side
    6,151.54x = 15,210,725.17
  5. Step 5: Solve for x
    x = 15,210,725.17/6,151.54
  6. Step 6: Final answer
    x = 2,472.67

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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.