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Finding the Fourth Proportional to 9,463.32, 14,186.73 and 3,913.20

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Solution

The fourth proportional to 9,463.32, 14,186.73 and 3,913.20 is: 5,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.32 : 14,186.73 = 3,913.20 : x
  2. Step 2: Convert to fraction form
    9,463.32/14,186.73 = 3,913.20/x
  3. Step 3: Cross multiply
    9,463.32x = 14,186.73 × 3,913.20
  4. Step 4: Simplify right side
    9,463.32x = 55,515,511.84
  5. Step 5: Solve for x
    x = 55,515,511.84/9,463.32
  6. Step 6: Final answer
    x = 5,866.39

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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.