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Finding the Fourth Proportional to 17,294.96, 25,968.32 and 9,907.76

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Solution

The fourth proportional to 17,294.96, 25,968.32 and 9,907.76 is: 14,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.96 : 25,968.32 = 9,907.76 : x
  2. Step 2: Convert to fraction form
    17,294.96/25,968.32 = 9,907.76/x
  3. Step 3: Cross multiply
    17,294.96x = 25,968.32 × 9,907.76
  4. Step 4: Simplify right side
    17,294.96x = 257,287,882.16
  5. Step 5: Solve for x
    x = 257,287,882.16/17,294.96
  6. Step 6: Final answer
    x = 14,876.47

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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.