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Finding the Fourth Proportional to 7,724.00, 11,486.63 and 7,477.97

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Solution

The fourth proportional to 7,724.00, 11,486.63 and 7,477.97 is: 11,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.00 : 11,486.63 = 7,477.97 : x
  2. Step 2: Convert to fraction form
    7,724.00/11,486.63 = 7,477.97/x
  3. Step 3: Cross multiply
    7,724.00x = 11,486.63 × 7,477.97
  4. Step 4: Simplify right side
    7,724.00x = 85,896,635.80
  5. Step 5: Solve for x
    x = 85,896,635.80/7,724.00
  6. Step 6: Final answer
    x = 11,120.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.