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Finding the Fourth Proportional to 6,840.40, 9,441.06 and 4,008.40

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Solution

The fourth proportional to 6,840.40, 9,441.06 and 4,008.40 is: 5,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.40 : 9,441.06 = 4,008.40 : x
  2. Step 2: Convert to fraction form
    6,840.40/9,441.06 = 4,008.40/x
  3. Step 3: Cross multiply
    6,840.40x = 9,441.06 × 4,008.40
  4. Step 4: Simplify right side
    6,840.40x = 37,843,544.90
  5. Step 5: Solve for x
    x = 37,843,544.90/6,840.40
  6. Step 6: Final answer
    x = 5,532.36

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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.