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Finding the Fourth Proportional to 6,584.98, 9,087.28 and 3,752.23

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Solution

The fourth proportional to 6,584.98, 9,087.28 and 3,752.23 is: 5,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.98 : 9,087.28 = 3,752.23 : x
  2. Step 2: Convert to fraction form
    6,584.98/9,087.28 = 3,752.23/x
  3. Step 3: Cross multiply
    6,584.98x = 9,087.28 × 3,752.23
  4. Step 4: Simplify right side
    6,584.98x = 34,097,532.54
  5. Step 5: Solve for x
    x = 34,097,532.54/6,584.98
  6. Step 6: Final answer
    x = 5,178.08

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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.