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Finding the Fourth Proportional to 4,807.88, 7,223.38 and 4,542.37

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Solution

The fourth proportional to 4,807.88, 7,223.38 and 4,542.37 is: 6,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.88 : 7,223.38 = 4,542.37 : x
  2. Step 2: Convert to fraction form
    4,807.88/7,223.38 = 4,542.37/x
  3. Step 3: Cross multiply
    4,807.88x = 7,223.38 × 4,542.37
  4. Step 4: Simplify right side
    4,807.88x = 32,811,253.78
  5. Step 5: Solve for x
    x = 32,811,253.78/4,807.88
  6. Step 6: Final answer
    x = 6,824.47

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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.