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Finding the Fourth Proportional to 9,802.75, 14,704.18 and 2,407.22

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Solution

The fourth proportional to 9,802.75, 14,704.18 and 2,407.22 is: 3,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.75 : 14,704.18 = 2,407.22 : x
  2. Step 2: Convert to fraction form
    9,802.75/14,704.18 = 2,407.22/x
  3. Step 3: Cross multiply
    9,802.75x = 14,704.18 × 2,407.22
  4. Step 4: Simplify right side
    9,802.75x = 35,396,134.99
  5. Step 5: Solve for x
    x = 35,396,134.99/9,802.75
  6. Step 6: Final answer
    x = 3,610.84

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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.