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Finding the Fourth Proportional to 10,829.01, 14,950.92 and 8,844.30

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Solution

The fourth proportional to 10,829.01, 14,950.92 and 8,844.30 is: 12,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.01 : 14,950.92 = 8,844.30 : x
  2. Step 2: Convert to fraction form
    10,829.01/14,950.92 = 8,844.30/x
  3. Step 3: Cross multiply
    10,829.01x = 14,950.92 × 8,844.30
  4. Step 4: Simplify right side
    10,829.01x = 132,230,421.76
  5. Step 5: Solve for x
    x = 132,230,421.76/10,829.01
  6. Step 6: Final answer
    x = 12,210.76

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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.