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Finding the Fourth Proportional to 5,099.16, 7,648.58 and 1,451.16

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Solution

The fourth proportional to 5,099.16, 7,648.58 and 1,451.16 is: 2,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.16 : 7,648.58 = 1,451.16 : x
  2. Step 2: Convert to fraction form
    5,099.16/7,648.58 = 1,451.16/x
  3. Step 3: Cross multiply
    5,099.16x = 7,648.58 × 1,451.16
  4. Step 4: Simplify right side
    5,099.16x = 11,099,313.35
  5. Step 5: Solve for x
    x = 11,099,313.35/5,099.16
  6. Step 6: Final answer
    x = 2,176.69

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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.