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Finding the Fourth Proportional to 4,762.54, 6,552.39 and 4,342.78

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Solution

The fourth proportional to 4,762.54, 6,552.39 and 4,342.78 is: 5,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.54 : 6,552.39 = 4,342.78 : x
  2. Step 2: Convert to fraction form
    4,762.54/6,552.39 = 4,342.78/x
  3. Step 3: Cross multiply
    4,762.54x = 6,552.39 × 4,342.78
  4. Step 4: Simplify right side
    4,762.54x = 28,455,588.24
  5. Step 5: Solve for x
    x = 28,455,588.24/4,762.54
  6. Step 6: Final answer
    x = 5,974.88

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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.