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Finding the Fourth Proportional to 9,902.97, 14,856.09 and 4,707.09

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Solution

The fourth proportional to 9,902.97, 14,856.09 and 4,707.09 is: 7,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.97 : 14,856.09 = 4,707.09 : x
  2. Step 2: Convert to fraction form
    9,902.97/14,856.09 = 4,707.09/x
  3. Step 3: Cross multiply
    9,902.97x = 14,856.09 × 4,707.09
  4. Step 4: Simplify right side
    9,902.97x = 69,928,952.68
  5. Step 5: Solve for x
    x = 69,928,952.68/9,902.97
  6. Step 6: Final answer
    x = 7,061.41

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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.