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Finding the Fourth Proportional to 6,885, 9,526.32 and 6,002.64

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Solution

The fourth proportional to 6,885, 9,526.32 and 6,002.64 is: 8,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885 : 9,526.32 = 6,002.64 : x
  2. Step 2: Convert to fraction form
    6,885/9,526.32 = 6,002.64/x
  3. Step 3: Cross multiply
    6,885x = 9,526.32 × 6,002.64
  4. Step 4: Simplify right side
    6,885x = 57,183,069.48
  5. Step 5: Solve for x
    x = 57,183,069.48/6,885
  6. Step 6: Final answer
    x = 8,305.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.