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Finding the Fourth Proportional to 8,829.83, 12,178.62 and 8,301.02

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Solution

The fourth proportional to 8,829.83, 12,178.62 and 8,301.02 is: 11,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.83 : 12,178.62 = 8,301.02 : x
  2. Step 2: Convert to fraction form
    8,829.83/12,178.62 = 8,301.02/x
  3. Step 3: Cross multiply
    8,829.83x = 12,178.62 × 8,301.02
  4. Step 4: Simplify right side
    8,829.83x = 101,094,907.30
  5. Step 5: Solve for x
    x = 101,094,907.30/8,829.83
  6. Step 6: Final answer
    x = 11,449.24

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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.