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Finding the Fourth Proportional to 5,613.62, 7,746.26 and 3,255.50

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Solution

The fourth proportional to 5,613.62, 7,746.26 and 3,255.50 is: 4,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.62 : 7,746.26 = 3,255.50 : x
  2. Step 2: Convert to fraction form
    5,613.62/7,746.26 = 3,255.50/x
  3. Step 3: Cross multiply
    5,613.62x = 7,746.26 × 3,255.50
  4. Step 4: Simplify right side
    5,613.62x = 25,217,949.43
  5. Step 5: Solve for x
    x = 25,217,949.43/5,613.62
  6. Step 6: Final answer
    x = 4,492.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.