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Finding the Fourth Proportional to 9,806.92, 14,710.25 and 2,411.44

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Solution

The fourth proportional to 9,806.92, 14,710.25 and 2,411.44 is: 3,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.92 : 14,710.25 = 2,411.44 : x
  2. Step 2: Convert to fraction form
    9,806.92/14,710.25 = 2,411.44/x
  3. Step 3: Cross multiply
    9,806.92x = 14,710.25 × 2,411.44
  4. Step 4: Simplify right side
    9,806.92x = 35,472,885.26
  5. Step 5: Solve for x
    x = 35,472,885.26/9,806.92
  6. Step 6: Final answer
    x = 3,617.13

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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.