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Finding the Fourth Proportional to 6,293.68, 9,447.36 and 3,664.06

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Solution

The fourth proportional to 6,293.68, 9,447.36 and 3,664.06 is: 5,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.68 : 9,447.36 = 3,664.06 : x
  2. Step 2: Convert to fraction form
    6,293.68/9,447.36 = 3,664.06/x
  3. Step 3: Cross multiply
    6,293.68x = 9,447.36 × 3,664.06
  4. Step 4: Simplify right side
    6,293.68x = 34,615,693.88
  5. Step 5: Solve for x
    x = 34,615,693.88/6,293.68
  6. Step 6: Final answer
    x = 5,500.07

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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.