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Finding the Fourth Proportional to 6,257.77, 9,384.81 and 2,969.98

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Solution

The fourth proportional to 6,257.77, 9,384.81 and 2,969.98 is: 4,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.77 : 9,384.81 = 2,969.98 : x
  2. Step 2: Convert to fraction form
    6,257.77/9,384.81 = 2,969.98/x
  3. Step 3: Cross multiply
    6,257.77x = 9,384.81 × 2,969.98
  4. Step 4: Simplify right side
    6,257.77x = 27,872,698.00
  5. Step 5: Solve for x
    x = 27,872,698.00/6,257.77
  6. Step 6: Final answer
    x = 4,454.09

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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.