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Finding the Fourth Proportional to 6,189.40, 9,297.06 and 5,217.40

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Solution

The fourth proportional to 6,189.40, 9,297.06 and 5,217.40 is: 7,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.40 : 9,297.06 = 5,217.40 : x
  2. Step 2: Convert to fraction form
    6,189.40/9,297.06 = 5,217.40/x
  3. Step 3: Cross multiply
    6,189.40x = 9,297.06 × 5,217.40
  4. Step 4: Simplify right side
    6,189.40x = 48,506,480.84
  5. Step 5: Solve for x
    x = 48,506,480.84/6,189.40
  6. Step 6: Final answer
    x = 7,837.02

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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.