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Finding the Fourth Proportional to 7,235.46, 9,986.49 and 4,252.50

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Solution

The fourth proportional to 7,235.46, 9,986.49 and 4,252.50 is: 5,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.46 : 9,986.49 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    7,235.46/9,986.49 = 4,252.50/x
  3. Step 3: Cross multiply
    7,235.46x = 9,986.49 × 4,252.50
  4. Step 4: Simplify right side
    7,235.46x = 42,467,548.73
  5. Step 5: Solve for x
    x = 42,467,548.73/7,235.46
  6. Step 6: Final answer
    x = 5,869.36

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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.