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Finding the Fourth Proportional to 9,698.73, 14,548.25 and 3,124.95

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Solution

The fourth proportional to 9,698.73, 14,548.25 and 3,124.95 is: 4,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.73 : 14,548.25 = 3,124.95 : x
  2. Step 2: Convert to fraction form
    9,698.73/14,548.25 = 3,124.95/x
  3. Step 3: Cross multiply
    9,698.73x = 14,548.25 × 3,124.95
  4. Step 4: Simplify right side
    9,698.73x = 45,462,553.84
  5. Step 5: Solve for x
    x = 45,462,553.84/9,698.73
  6. Step 6: Final answer
    x = 4,687.47

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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.