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Finding the Fourth Proportional to 3,684.56, 5,526.76 and 911.24

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Solution

The fourth proportional to 3,684.56, 5,526.76 and 911.24 is: 1,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.56 : 5,526.76 = 911.24 : x
  2. Step 2: Convert to fraction form
    3,684.56/5,526.76 = 911.24/x
  3. Step 3: Cross multiply
    3,684.56x = 5,526.76 × 911.24
  4. Step 4: Simplify right side
    3,684.56x = 5,036,204.78
  5. Step 5: Solve for x
    x = 5,036,204.78/3,684.56
  6. Step 6: Final answer
    x = 1,366.84

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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.