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Finding the Fourth Proportional to 9,772.40, 14,662.20 and 3,933.20

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Solution

The fourth proportional to 9,772.40, 14,662.20 and 3,933.20 is: 5,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.40 : 14,662.20 = 3,933.20 : x
  2. Step 2: Convert to fraction form
    9,772.40/14,662.20 = 3,933.20/x
  3. Step 3: Cross multiply
    9,772.40x = 14,662.20 × 3,933.20
  4. Step 4: Simplify right side
    9,772.40x = 57,669,365.04
  5. Step 5: Solve for x
    x = 57,669,365.04/9,772.40
  6. Step 6: Final answer
    x = 5,901.25

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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.