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Finding the Fourth Proportional to 16,066.56, 22,172.08 and 9,693.48

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Solution

The fourth proportional to 16,066.56, 22,172.08 and 9,693.48 is: 13,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066.56 : 22,172.08 = 9,693.48 : x
  2. Step 2: Convert to fraction form
    16,066.56/22,172.08 = 9,693.48/x
  3. Step 3: Cross multiply
    16,066.56x = 22,172.08 × 9,693.48
  4. Step 4: Simplify right side
    16,066.56x = 214,924,614.04
  5. Step 5: Solve for x
    x = 214,924,614.04/16,066.56
  6. Step 6: Final answer
    x = 13,377.14

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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.