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Finding the Fourth Proportional to 7,098.84, 9,796.41 and 4,114.85

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Solution

The fourth proportional to 7,098.84, 9,796.41 and 4,114.85 is: 5,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.84 : 9,796.41 = 4,114.85 : x
  2. Step 2: Convert to fraction form
    7,098.84/9,796.41 = 4,114.85/x
  3. Step 3: Cross multiply
    7,098.84x = 9,796.41 × 4,114.85
  4. Step 4: Simplify right side
    7,098.84x = 40,310,708.71
  5. Step 5: Solve for x
    x = 40,310,708.71/7,098.84
  6. Step 6: Final answer
    x = 5,678.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.