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Finding the Fourth Proportional to 12,477, 17,218.28 and 6,888

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Solution

The fourth proportional to 12,477, 17,218.28 and 6,888 is: 9,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477 : 17,218.28 = 6,888 : x
  2. Step 2: Convert to fraction form
    12,477/17,218.28 = 6,888/x
  3. Step 3: Cross multiply
    12,477x = 17,218.28 × 6,888
  4. Step 4: Simplify right side
    12,477x = 118,599,478.20
  5. Step 5: Solve for x
    x = 118,599,478.20/12,477
  6. Step 6: Final answer
    x = 9,505.45

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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.