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Finding the Fourth Proportional to 6,410.16, 9,615.06 and 3,494.16

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Solution

The fourth proportional to 6,410.16, 9,615.06 and 3,494.16 is: 5,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.16 : 9,615.06 = 3,494.16 : x
  2. Step 2: Convert to fraction form
    6,410.16/9,615.06 = 3,494.16/x
  3. Step 3: Cross multiply
    6,410.16x = 9,615.06 × 3,494.16
  4. Step 4: Simplify right side
    6,410.16x = 33,596,558.05
  5. Step 5: Solve for x
    x = 33,596,558.05/6,410.16
  6. Step 6: Final answer
    x = 5,241.14

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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.