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Finding the Fourth Proportional to 5,146.16, 7,719.23 and 1,448.76

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Solution

The fourth proportional to 5,146.16, 7,719.23 and 1,448.76 is: 2,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.16 : 7,719.23 = 1,448.76 : x
  2. Step 2: Convert to fraction form
    5,146.16/7,719.23 = 1,448.76/x
  3. Step 3: Cross multiply
    5,146.16x = 7,719.23 × 1,448.76
  4. Step 4: Simplify right side
    5,146.16x = 11,183,311.65
  5. Step 5: Solve for x
    x = 11,183,311.65/5,146.16
  6. Step 6: Final answer
    x = 2,173.14

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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.