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Finding the Fourth Proportional to 4,828.91, 7,243.23 and 1,542.20

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Solution

The fourth proportional to 4,828.91, 7,243.23 and 1,542.20 is: 2,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.91 : 7,243.23 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    4,828.91/7,243.23 = 1,542.20/x
  3. Step 3: Cross multiply
    4,828.91x = 7,243.23 × 1,542.20
  4. Step 4: Simplify right side
    4,828.91x = 11,170,509.31
  5. Step 5: Solve for x
    x = 11,170,509.31/4,828.91
  6. Step 6: Final answer
    x = 2,313.26

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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.