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Finding the Fourth Proportional to 7,165.46, 10,728.75 and 3,695.42

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Solution

The fourth proportional to 7,165.46, 10,728.75 and 3,695.42 is: 5,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.46 : 10,728.75 = 3,695.42 : x
  2. Step 2: Convert to fraction form
    7,165.46/10,728.75 = 3,695.42/x
  3. Step 3: Cross multiply
    7,165.46x = 10,728.75 × 3,695.42
  4. Step 4: Simplify right side
    7,165.46x = 39,647,278.00
  5. Step 5: Solve for x
    x = 39,647,278.00/7,165.46
  6. Step 6: Final answer
    x = 5,533.11

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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.