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Finding the Fourth Proportional to 17,710.85, 26,572.42 and 7,857.03

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Solution

The fourth proportional to 17,710.85, 26,572.42 and 7,857.03 is: 11,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.85 : 26,572.42 = 7,857.03 : x
  2. Step 2: Convert to fraction form
    17,710.85/26,572.42 = 7,857.03/x
  3. Step 3: Cross multiply
    17,710.85x = 26,572.42 × 7,857.03
  4. Step 4: Simplify right side
    17,710.85x = 208,780,410.58
  5. Step 5: Solve for x
    x = 208,780,410.58/17,710.85
  6. Step 6: Final answer
    x = 11,788.28

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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.