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Finding the Fourth Proportional to 3,742.50, 5,613.73 and 969.17

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Solution

The fourth proportional to 3,742.50, 5,613.73 and 969.17 is: 1,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.50 : 5,613.73 = 969.17 : x
  2. Step 2: Convert to fraction form
    3,742.50/5,613.73 = 969.17/x
  3. Step 3: Cross multiply
    3,742.50x = 5,613.73 × 969.17
  4. Step 4: Simplify right side
    3,742.50x = 5,440,628.21
  5. Step 5: Solve for x
    x = 5,440,628.21/3,742.50
  6. Step 6: Final answer
    x = 1,453.74

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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.