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Finding the Fourth Proportional to 9,983.58, 13,763.03 and 7,855.44

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Solution

The fourth proportional to 9,983.58, 13,763.03 and 7,855.44 is: 10,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.58 : 13,763.03 = 7,855.44 : x
  2. Step 2: Convert to fraction form
    9,983.58/13,763.03 = 7,855.44/x
  3. Step 3: Cross multiply
    9,983.58x = 13,763.03 × 7,855.44
  4. Step 4: Simplify right side
    9,983.58x = 108,114,617.11
  5. Step 5: Solve for x
    x = 108,114,617.11/9,983.58
  6. Step 6: Final answer
    x = 10,829.24

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1.5x scale

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.