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Finding the Fourth Proportional to 7,616.16, 11,424.24 and 2,683.20

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Solution

The fourth proportional to 7,616.16, 11,424.24 and 2,683.20 is: 4,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 11,424.24 = 2,683.20 : x
  2. Step 2: Convert to fraction form
    7,616.16/11,424.24 = 2,683.20/x
  3. Step 3: Cross multiply
    7,616.16x = 11,424.24 × 2,683.20
  4. Step 4: Simplify right side
    7,616.16x = 30,653,520.77
  5. Step 5: Solve for x
    x = 30,653,520.77/7,616.16
  6. Step 6: Final answer
    x = 4,024.80

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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.