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Finding the Fourth Proportional to 7,099.84, 10,647.84 and 3,202.24

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Solution

The fourth proportional to 7,099.84, 10,647.84 and 3,202.24 is: 4,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.84 : 10,647.84 = 3,202.24 : x
  2. Step 2: Convert to fraction form
    7,099.84/10,647.84 = 3,202.24/x
  3. Step 3: Cross multiply
    7,099.84x = 10,647.84 × 3,202.24
  4. Step 4: Simplify right side
    7,099.84x = 34,096,939.16
  5. Step 5: Solve for x
    x = 34,096,939.16/7,099.84
  6. Step 6: Final answer
    x = 4,802.49

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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.