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Finding the Fourth Proportional to 4,970.94, 7,456.41 and 2,365.98

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Solution

The fourth proportional to 4,970.94, 7,456.41 and 2,365.98 is: 3,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.94 : 7,456.41 = 2,365.98 : x
  2. Step 2: Convert to fraction form
    4,970.94/7,456.41 = 2,365.98/x
  3. Step 3: Cross multiply
    4,970.94x = 7,456.41 × 2,365.98
  4. Step 4: Simplify right side
    4,970.94x = 17,641,716.93
  5. Step 5: Solve for x
    x = 17,641,716.93/4,970.94
  6. Step 6: Final answer
    x = 3,548.97

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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.