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Finding the Fourth Proportional to 10,873.02, 16,309.53 and 5,677.68

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Solution

The fourth proportional to 10,873.02, 16,309.53 and 5,677.68 is: 8,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.02 : 16,309.53 = 5,677.68 : x
  2. Step 2: Convert to fraction form
    10,873.02/16,309.53 = 5,677.68/x
  3. Step 3: Cross multiply
    10,873.02x = 16,309.53 × 5,677.68
  4. Step 4: Simplify right side
    10,873.02x = 92,600,292.29
  5. Step 5: Solve for x
    x = 92,600,292.29/10,873.02
  6. Step 6: Final answer
    x = 8,516.52

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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.