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Finding the Fourth Proportional to 12,398, 18,598.08 and 3,164

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Solution

The fourth proportional to 12,398, 18,598.08 and 3,164 is: 4,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398 : 18,598.08 = 3,164 : x
  2. Step 2: Convert to fraction form
    12,398/18,598.08 = 3,164/x
  3. Step 3: Cross multiply
    12,398x = 18,598.08 × 3,164
  4. Step 4: Simplify right side
    12,398x = 58,844,325.12
  5. Step 5: Solve for x
    x = 58,844,325.12/12,398
  6. Step 6: Final answer
    x = 4,746.28

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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.