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Finding the Fourth Proportional to 4,489.56, 6,735.48 and 1,411.56

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Solution

The fourth proportional to 4,489.56, 6,735.48 and 1,411.56 is: 2,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.56 : 6,735.48 = 1,411.56 : x
  2. Step 2: Convert to fraction form
    4,489.56/6,735.48 = 1,411.56/x
  3. Step 3: Cross multiply
    4,489.56x = 6,735.48 × 1,411.56
  4. Step 4: Simplify right side
    4,489.56x = 9,507,534.15
  5. Step 5: Solve for x
    x = 9,507,534.15/4,489.56
  6. Step 6: Final answer
    x = 2,117.70

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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.