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Finding the Fourth Proportional to 17,307, 25,964.42 and 5,460.68

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Solution

The fourth proportional to 17,307, 25,964.42 and 5,460.68 is: 8,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 25,964.42 = 5,460.68 : x
  2. Step 2: Convert to fraction form
    17,307/25,964.42 = 5,460.68/x
  3. Step 3: Cross multiply
    17,307x = 25,964.42 × 5,460.68
  4. Step 4: Simplify right side
    17,307x = 141,783,426.61
  5. Step 5: Solve for x
    x = 141,783,426.61/17,307
  6. Step 6: Final answer
    x = 8,192.26

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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.