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Finding the Fourth Proportional to 10,679.94, 16,037.19 and 10,230.66

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Solution

The fourth proportional to 10,679.94, 16,037.19 and 10,230.66 is: 15,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.94 : 16,037.19 = 10,230.66 : x
  2. Step 2: Convert to fraction form
    10,679.94/16,037.19 = 10,230.66/x
  3. Step 3: Cross multiply
    10,679.94x = 16,037.19 × 10,230.66
  4. Step 4: Simplify right side
    10,679.94x = 164,071,038.25
  5. Step 5: Solve for x
    x = 164,071,038.25/10,679.94
  6. Step 6: Final answer
    x = 15,362.54

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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.