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Finding the Fourth Proportional to 17,747, 26,614.74 and 5,897.60

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Solution

The fourth proportional to 17,747, 26,614.74 and 5,897.60 is: 8,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747 : 26,614.74 = 5,897.60 : x
  2. Step 2: Convert to fraction form
    17,747/26,614.74 = 5,897.60/x
  3. Step 3: Cross multiply
    17,747x = 26,614.74 × 5,897.60
  4. Step 4: Simplify right side
    17,747x = 156,962,957.55
  5. Step 5: Solve for x
    x = 156,962,957.55/17,747
  6. Step 6: Final answer
    x = 8,844.48

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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.