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Finding the Fourth Proportional to 18,896.16, 28,344.24 and 6,417.48

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Solution

The fourth proportional to 18,896.16, 28,344.24 and 6,417.48 is: 9,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.16 : 28,344.24 = 6,417.48 : x
  2. Step 2: Convert to fraction form
    18,896.16/28,344.24 = 6,417.48/x
  3. Step 3: Cross multiply
    18,896.16x = 28,344.24 × 6,417.48
  4. Step 4: Simplify right side
    18,896.16x = 181,898,593.32
  5. Step 5: Solve for x
    x = 181,898,593.32/18,896.16
  6. Step 6: Final answer
    x = 9,626.22

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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.