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Finding the Fourth Proportional to 6,767.71, 9,322.09 and 4,774.77

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Solution

The fourth proportional to 6,767.71, 9,322.09 and 4,774.77 is: 6,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.71 : 9,322.09 = 4,774.77 : x
  2. Step 2: Convert to fraction form
    6,767.71/9,322.09 = 4,774.77/x
  3. Step 3: Cross multiply
    6,767.71x = 9,322.09 × 4,774.77
  4. Step 4: Simplify right side
    6,767.71x = 44,510,823.73
  5. Step 5: Solve for x
    x = 44,510,823.73/6,767.71
  6. Step 6: Final answer
    x = 6,576.94

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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.