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Finding the Fourth Proportional to 7,647.97, 10,552.92 and 4,504.78

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Solution

The fourth proportional to 7,647.97, 10,552.92 and 4,504.78 is: 6,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.97 : 10,552.92 = 4,504.78 : x
  2. Step 2: Convert to fraction form
    7,647.97/10,552.92 = 4,504.78/x
  3. Step 3: Cross multiply
    7,647.97x = 10,552.92 × 4,504.78
  4. Step 4: Simplify right side
    7,647.97x = 47,538,582.96
  5. Step 5: Solve for x
    x = 47,538,582.96/7,647.97
  6. Step 6: Final answer
    x = 6,215.84

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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.