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Finding the Fourth Proportional to 9,614.88, 14,420.64 and 3,769.44

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Solution

The fourth proportional to 9,614.88, 14,420.64 and 3,769.44 is: 5,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.88 : 14,420.64 = 3,769.44 : x
  2. Step 2: Convert to fraction form
    9,614.88/14,420.64 = 3,769.44/x
  3. Step 3: Cross multiply
    9,614.88x = 14,420.64 × 3,769.44
  4. Step 4: Simplify right side
    9,614.88x = 54,357,737.24
  5. Step 5: Solve for x
    x = 54,357,737.24/9,614.88
  6. Step 6: Final answer
    x = 5,653.50

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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.