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Finding the Fourth Proportional to 6,405.36, 8,839.74 and 3,752.40

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Solution

The fourth proportional to 6,405.36, 8,839.74 and 3,752.40 is: 5,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.36 : 8,839.74 = 3,752.40 : x
  2. Step 2: Convert to fraction form
    6,405.36/8,839.74 = 3,752.40/x
  3. Step 3: Cross multiply
    6,405.36x = 8,839.74 × 3,752.40
  4. Step 4: Simplify right side
    6,405.36x = 33,170,240.38
  5. Step 5: Solve for x
    x = 33,170,240.38/6,405.36
  6. Step 6: Final answer
    x = 5,178.51

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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.