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Finding the Fourth Proportional to 6,885.20, 9,665.20 and 6,885.20

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Solution

The fourth proportional to 6,885.20, 9,665.20 and 6,885.20 is: 9,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.20 : 9,665.20 = 6,885.20 : x
  2. Step 2: Convert to fraction form
    6,885.20/9,665.20 = 6,885.20/x
  3. Step 3: Cross multiply
    6,885.20x = 9,665.20 × 6,885.20
  4. Step 4: Simplify right side
    6,885.20x = 66,546,835.04
  5. Step 5: Solve for x
    x = 66,546,835.04/6,885.20
  6. Step 6: Final answer
    x = 9,665.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.