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Finding the Fourth Proportional to 12,398.16, 18,597.24 and 3,164.16

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Solution

The fourth proportional to 12,398.16, 18,597.24 and 3,164.16 is: 4,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.16 : 18,597.24 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    12,398.16/18,597.24 = 3,164.16/x
  3. Step 3: Cross multiply
    12,398.16x = 18,597.24 × 3,164.16
  4. Step 4: Simplify right side
    12,398.16x = 58,844,561.31
  5. Step 5: Solve for x
    x = 58,844,561.31/12,398.16
  6. Step 6: Final answer
    x = 4,746.23

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Similar ratio
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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.