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Finding the Fourth Proportional to 17,713.58, 26,552.15 and 7,857.50

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Solution

The fourth proportional to 17,713.58, 26,552.15 and 7,857.50 is: 11,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.58 : 26,552.15 = 7,857.50 : x
  2. Step 2: Convert to fraction form
    17,713.58/26,552.15 = 7,857.50/x
  3. Step 3: Cross multiply
    17,713.58x = 26,552.15 × 7,857.50
  4. Step 4: Simplify right side
    17,713.58x = 208,633,479.34
  5. Step 5: Solve for x
    x = 208,633,479.34/17,713.58
  6. Step 6: Final answer
    x = 11,778.17

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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.