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Finding the Fourth Proportional to 17,335, 25,998.15 and 4,851.79

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Solution

The fourth proportional to 17,335, 25,998.15 and 4,851.79 is: 7,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335 : 25,998.15 = 4,851.79 : x
  2. Step 2: Convert to fraction form
    17,335/25,998.15 = 4,851.79/x
  3. Step 3: Cross multiply
    17,335x = 25,998.15 × 4,851.79
  4. Step 4: Simplify right side
    17,335x = 126,137,564.19
  5. Step 5: Solve for x
    x = 126,137,564.19/17,335
  6. Step 6: Final answer
    x = 7,276.47

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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.