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Finding the Fourth Proportional to 5,767.57, 7,907.34 and 5,662.47

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Solution

The fourth proportional to 5,767.57, 7,907.34 and 5,662.47 is: 7,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.57 : 7,907.34 = 5,662.47 : x
  2. Step 2: Convert to fraction form
    5,767.57/7,907.34 = 5,662.47/x
  3. Step 3: Cross multiply
    5,767.57x = 7,907.34 × 5,662.47
  4. Step 4: Simplify right side
    5,767.57x = 44,775,083.95
  5. Step 5: Solve for x
    x = 44,775,083.95/5,767.57
  6. Step 6: Final answer
    x = 7,763.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.