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Finding the Fourth Proportional to 13,693.16, 18,898.00 and 8,028.14

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Solution

The fourth proportional to 13,693.16, 18,898.00 and 8,028.14 is: 11,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.16 : 18,898.00 = 8,028.14 : x
  2. Step 2: Convert to fraction form
    13,693.16/18,898.00 = 8,028.14/x
  3. Step 3: Cross multiply
    13,693.16x = 18,898.00 × 8,028.14
  4. Step 4: Simplify right side
    13,693.16x = 151,715,837.28
  5. Step 5: Solve for x
    x = 151,715,837.28/13,693.16
  6. Step 6: Final answer
    x = 11,079.68

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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.