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Finding the Fourth Proportional to 17,307, 25,963.74 and 5,617.08

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Solution

The fourth proportional to 17,307, 25,963.74 and 5,617.08 is: 8,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 25,963.74 = 5,617.08 : x
  2. Step 2: Convert to fraction form
    17,307/25,963.74 = 5,617.08/x
  3. Step 3: Cross multiply
    17,307x = 25,963.74 × 5,617.08
  4. Step 4: Simplify right side
    17,307x = 145,840,404.68
  5. Step 5: Solve for x
    x = 145,840,404.68/17,307
  6. Step 6: Final answer
    x = 8,426.67

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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.