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Finding the Fourth Proportional to 25,857.60, 38,790.04 and 9,214.06

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Solution

The fourth proportional to 25,857.60, 38,790.04 and 9,214.06 is: 13,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.60 : 38,790.04 = 9,214.06 : x
  2. Step 2: Convert to fraction form
    25,857.60/38,790.04 = 9,214.06/x
  3. Step 3: Cross multiply
    25,857.60x = 38,790.04 × 9,214.06
  4. Step 4: Simplify right side
    25,857.60x = 357,413,755.96
  5. Step 5: Solve for x
    x = 357,413,755.96/25,857.60
  6. Step 6: Final answer
    x = 13,822.39

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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.