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Finding the Fourth Proportional to 26,291.81, 39,437.73 and 7,823.81

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Solution

The fourth proportional to 26,291.81, 39,437.73 and 7,823.81 is: 11,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.81 : 39,437.73 = 7,823.81 : x
  2. Step 2: Convert to fraction form
    26,291.81/39,437.73 = 7,823.81/x
  3. Step 3: Cross multiply
    26,291.81x = 39,437.73 × 7,823.81
  4. Step 4: Simplify right side
    26,291.81x = 308,553,404.95
  5. Step 5: Solve for x
    x = 308,553,404.95/26,291.81
  6. Step 6: Final answer
    x = 11,735.72

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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.