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Finding the Fourth Proportional to 5,843.24, 8,768.10 and 5,402.60

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Solution

The fourth proportional to 5,843.24, 8,768.10 and 5,402.60 is: 8,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.24 : 8,768.10 = 5,402.60 : x
  2. Step 2: Convert to fraction form
    5,843.24/8,768.10 = 5,402.60/x
  3. Step 3: Cross multiply
    5,843.24x = 8,768.10 × 5,402.60
  4. Step 4: Simplify right side
    5,843.24x = 47,370,537.06
  5. Step 5: Solve for x
    x = 47,370,537.06/5,843.24
  6. Step 6: Final answer
    x = 8,106.90

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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.