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Finding the Fourth Proportional to 11,699.42, 16,142.97 and 6,984.14

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Solution

The fourth proportional to 11,699.42, 16,142.97 and 6,984.14 is: 9,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.42 : 16,142.97 = 6,984.14 : x
  2. Step 2: Convert to fraction form
    11,699.42/16,142.97 = 6,984.14/x
  3. Step 3: Cross multiply
    11,699.42x = 16,142.97 × 6,984.14
  4. Step 4: Simplify right side
    11,699.42x = 112,744,762.50
  5. Step 5: Solve for x
    x = 112,744,762.50/11,699.42
  6. Step 6: Final answer
    x = 9,636.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.