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Finding the Fourth Proportional to 5,128.48, 7,644.02 and 4,846.24

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Solution

The fourth proportional to 5,128.48, 7,644.02 and 4,846.24 is: 7,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.48 : 7,644.02 = 4,846.24 : x
  2. Step 2: Convert to fraction form
    5,128.48/7,644.02 = 4,846.24/x
  3. Step 3: Cross multiply
    5,128.48x = 7,644.02 × 4,846.24
  4. Step 4: Simplify right side
    5,128.48x = 37,044,755.48
  5. Step 5: Solve for x
    x = 37,044,755.48/5,128.48
  6. Step 6: Final answer
    x = 7,223.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.