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Finding the Fourth Proportional to 4,952.33, 7,429.51 and 1,665.33

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Solution

The fourth proportional to 4,952.33, 7,429.51 and 1,665.33 is: 2,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.33 : 7,429.51 = 1,665.33 : x
  2. Step 2: Convert to fraction form
    4,952.33/7,429.51 = 1,665.33/x
  3. Step 3: Cross multiply
    4,952.33x = 7,429.51 × 1,665.33
  4. Step 4: Simplify right side
    4,952.33x = 12,372,585.89
  5. Step 5: Solve for x
    x = 12,372,585.89/4,952.33
  6. Step 6: Final answer
    x = 2,498.34

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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.