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Finding the Fourth Proportional to 9,802.80, 14,704.20 and 5,905.20

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Solution

The fourth proportional to 9,802.80, 14,704.20 and 5,905.20 is: 8,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.80 : 14,704.20 = 5,905.20 : x
  2. Step 2: Convert to fraction form
    9,802.80/14,704.20 = 5,905.20/x
  3. Step 3: Cross multiply
    9,802.80x = 14,704.20 × 5,905.20
  4. Step 4: Simplify right side
    9,802.80x = 86,831,241.84
  5. Step 5: Solve for x
    x = 86,831,241.84/9,802.80
  6. Step 6: Final answer
    x = 8,857.80

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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.