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Finding the Fourth Proportional to 10,614.94, 15,912.69 and 4,040.98

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Solution

The fourth proportional to 10,614.94, 15,912.69 and 4,040.98 is: 6,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.94 : 15,912.69 = 4,040.98 : x
  2. Step 2: Convert to fraction form
    10,614.94/15,912.69 = 4,040.98/x
  3. Step 3: Cross multiply
    10,614.94x = 15,912.69 × 4,040.98
  4. Step 4: Simplify right side
    10,614.94x = 64,302,862.04
  5. Step 5: Solve for x
    x = 64,302,862.04/10,614.94
  6. Step 6: Final answer
    x = 6,057.77

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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.