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Finding the Fourth Proportional to 6,044.29, 9,056.71 and 5,072.29

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Solution

The fourth proportional to 6,044.29, 9,056.71 and 5,072.29 is: 7,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.29 : 9,056.71 = 5,072.29 : x
  2. Step 2: Convert to fraction form
    6,044.29/9,056.71 = 5,072.29/x
  3. Step 3: Cross multiply
    6,044.29x = 9,056.71 × 5,072.29
  4. Step 4: Simplify right side
    6,044.29x = 45,938,243.26
  5. Step 5: Solve for x
    x = 45,938,243.26/6,044.29
  6. Step 6: Final answer
    x = 7,600.27

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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.