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Finding the Fourth Proportional to 17,509.50, 26,264.25 and 5,197.50

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Solution

The fourth proportional to 17,509.50, 26,264.25 and 5,197.50 is: 7,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 26,264.25 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    17,509.50/26,264.25 = 5,197.50/x
  3. Step 3: Cross multiply
    17,509.50x = 26,264.25 × 5,197.50
  4. Step 4: Simplify right side
    17,509.50x = 136,508,439.38
  5. Step 5: Solve for x
    x = 136,508,439.38/17,509.50
  6. Step 6: Final answer
    x = 7,796.25

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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.