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Finding the Fourth Proportional to 7,083.78, 10,630.35 and 7,029.06

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Solution

The fourth proportional to 7,083.78, 10,630.35 and 7,029.06 is: 10,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.78 : 10,630.35 = 7,029.06 : x
  2. Step 2: Convert to fraction form
    7,083.78/10,630.35 = 7,029.06/x
  3. Step 3: Cross multiply
    7,083.78x = 10,630.35 × 7,029.06
  4. Step 4: Simplify right side
    7,083.78x = 74,721,367.97
  5. Step 5: Solve for x
    x = 74,721,367.97/7,083.78
  6. Step 6: Final answer
    x = 10,548.23

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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.