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Finding the Fourth Proportional to 6,954.40, 10,430.16 and 3,256.96

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Solution

The fourth proportional to 6,954.40, 10,430.16 and 3,256.96 is: 4,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.40 : 10,430.16 = 3,256.96 : x
  2. Step 2: Convert to fraction form
    6,954.40/10,430.16 = 3,256.96/x
  3. Step 3: Cross multiply
    6,954.40x = 10,430.16 × 3,256.96
  4. Step 4: Simplify right side
    6,954.40x = 33,970,613.91
  5. Step 5: Solve for x
    x = 33,970,613.91/6,954.40
  6. Step 6: Final answer
    x = 4,884.77

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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.