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Finding the Fourth Proportional to 17,476.25, 26,205.47 and 5,785.25

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Solution

The fourth proportional to 17,476.25, 26,205.47 and 5,785.25 is: 8,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476.25 : 26,205.47 = 5,785.25 : x
  2. Step 2: Convert to fraction form
    17,476.25/26,205.47 = 5,785.25/x
  3. Step 3: Cross multiply
    17,476.25x = 26,205.47 × 5,785.25
  4. Step 4: Simplify right side
    17,476.25x = 151,605,166.39
  5. Step 5: Solve for x
    x = 151,605,166.39/17,476.25
  6. Step 6: Final answer
    x = 8,674.93

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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.