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Finding the Fourth Proportional to 5,097.49, 7,647.62 and 4,609.51

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Solution

The fourth proportional to 5,097.49, 7,647.62 and 4,609.51 is: 6,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.49 : 7,647.62 = 4,609.51 : x
  2. Step 2: Convert to fraction form
    5,097.49/7,647.62 = 4,609.51/x
  3. Step 3: Cross multiply
    5,097.49x = 7,647.62 × 4,609.51
  4. Step 4: Simplify right side
    5,097.49x = 35,251,738.70
  5. Step 5: Solve for x
    x = 35,251,738.70/5,097.49
  6. Step 6: Final answer
    x = 6,915.51

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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.