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Finding the Fourth Proportional to 7,177.32, 9,905.00 and 4,033.50

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Solution

The fourth proportional to 7,177.32, 9,905.00 and 4,033.50 is: 5,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.32 : 9,905.00 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    7,177.32/9,905.00 = 4,033.50/x
  3. Step 3: Cross multiply
    7,177.32x = 9,905.00 × 4,033.50
  4. Step 4: Simplify right side
    7,177.32x = 39,951,797.33
  5. Step 5: Solve for x
    x = 39,951,797.33/7,177.32
  6. Step 6: Final answer
    x = 5,566.39

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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.