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Finding the Fourth Proportional to 6,777, 9,349.65 and 4,258.08

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Solution

The fourth proportional to 6,777, 9,349.65 and 4,258.08 is: 5,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777 : 9,349.65 = 4,258.08 : x
  2. Step 2: Convert to fraction form
    6,777/9,349.65 = 4,258.08/x
  3. Step 3: Cross multiply
    6,777x = 9,349.65 × 4,258.08
  4. Step 4: Simplify right side
    6,777x = 39,811,557.67
  5. Step 5: Solve for x
    x = 39,811,557.67/6,777
  6. Step 6: Final answer
    x = 5,874.51

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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.