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Finding the Fourth Proportional to 6,409.16, 9,613.56 and 3,493.16

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Solution

The fourth proportional to 6,409.16, 9,613.56 and 3,493.16 is: 5,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.16 : 9,613.56 = 3,493.16 : x
  2. Step 2: Convert to fraction form
    6,409.16/9,613.56 = 3,493.16/x
  3. Step 3: Cross multiply
    6,409.16x = 9,613.56 × 3,493.16
  4. Step 4: Simplify right side
    6,409.16x = 33,581,703.25
  5. Step 5: Solve for x
    x = 33,581,703.25/6,409.16
  6. Step 6: Final answer
    x = 5,239.64

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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.