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Finding the Fourth Proportional to 12,513, 17,268.48 and 6,924

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Solution

The fourth proportional to 12,513, 17,268.48 and 6,924 is: 9,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513 : 17,268.48 = 6,924 : x
  2. Step 2: Convert to fraction form
    12,513/17,268.48 = 6,924/x
  3. Step 3: Cross multiply
    12,513x = 17,268.48 × 6,924
  4. Step 4: Simplify right side
    12,513x = 119,566,955.52
  5. Step 5: Solve for x
    x = 119,566,955.52/12,513
  6. Step 6: Final answer
    x = 9,555.42

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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.