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Finding the Fourth Proportional to 5,202.97, 7,804.15 and 1,505.12

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Solution

The fourth proportional to 5,202.97, 7,804.15 and 1,505.12 is: 2,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.97 : 7,804.15 = 1,505.12 : x
  2. Step 2: Convert to fraction form
    5,202.97/7,804.15 = 1,505.12/x
  3. Step 3: Cross multiply
    5,202.97x = 7,804.15 × 1,505.12
  4. Step 4: Simplify right side
    5,202.97x = 11,746,139.46
  5. Step 5: Solve for x
    x = 11,746,139.46/5,202.97
  6. Step 6: Final answer
    x = 2,257.58

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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.