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Finding the Fourth Proportional to 25,702.50, 38,556.81 and 9,059.07

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Solution

The fourth proportional to 25,702.50, 38,556.81 and 9,059.07 is: 13,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.50 : 38,556.81 = 9,059.07 : x
  2. Step 2: Convert to fraction form
    25,702.50/38,556.81 = 9,059.07/x
  3. Step 3: Cross multiply
    25,702.50x = 38,556.81 × 9,059.07
  4. Step 4: Simplify right side
    25,702.50x = 349,288,840.77
  5. Step 5: Solve for x
    x = 349,288,840.77/25,702.50
  6. Step 6: Final answer
    x = 13,589.68

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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.