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Finding the Fourth Proportional to 9,165.30, 13,752.30 and 4,232.20

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Solution

The fourth proportional to 9,165.30, 13,752.30 and 4,232.20 is: 6,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.30 : 13,752.30 = 4,232.20 : x
  2. Step 2: Convert to fraction form
    9,165.30/13,752.30 = 4,232.20/x
  3. Step 3: Cross multiply
    9,165.30x = 13,752.30 × 4,232.20
  4. Step 4: Simplify right side
    9,165.30x = 58,202,484.06
  5. Step 5: Solve for x
    x = 58,202,484.06/9,165.30
  6. Step 6: Final answer
    x = 6,350.31

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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.