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Finding the Fourth Proportional to 17,698.50, 26,551.26 and 5,218.74

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Solution

The fourth proportional to 17,698.50, 26,551.26 and 5,218.74 is: 7,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.50 : 26,551.26 = 5,218.74 : x
  2. Step 2: Convert to fraction form
    17,698.50/26,551.26 = 5,218.74/x
  3. Step 3: Cross multiply
    17,698.50x = 26,551.26 × 5,218.74
  4. Step 4: Simplify right side
    17,698.50x = 138,564,122.61
  5. Step 5: Solve for x
    x = 138,564,122.61/17,698.50
  6. Step 6: Final answer
    x = 7,829.14

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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.