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Finding the Fourth Proportional to 9,801.68, 14,702.09 and 2,405.75

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Solution

The fourth proportional to 9,801.68, 14,702.09 and 2,405.75 is: 3,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.68 : 14,702.09 = 2,405.75 : x
  2. Step 2: Convert to fraction form
    9,801.68/14,702.09 = 2,405.75/x
  3. Step 3: Cross multiply
    9,801.68x = 14,702.09 × 2,405.75
  4. Step 4: Simplify right side
    9,801.68x = 35,369,467.48
  5. Step 5: Solve for x
    x = 35,369,467.48/9,801.68
  6. Step 6: Final answer
    x = 3,608.51

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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.