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Finding the Fourth Proportional to 7,130.22, 9,843.30 and 4,893

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Solution

The fourth proportional to 7,130.22, 9,843.30 and 4,893 is: 6,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.22 : 9,843.30 = 4,893 : x
  2. Step 2: Convert to fraction form
    7,130.22/9,843.30 = 4,893/x
  3. Step 3: Cross multiply
    7,130.22x = 9,843.30 × 4,893
  4. Step 4: Simplify right side
    7,130.22x = 48,163,266.90
  5. Step 5: Solve for x
    x = 48,163,266.90/7,130.22
  6. Step 6: Final answer
    x = 6,754.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.