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Finding the Fourth Proportional to 27,782.11, 41,658.99 and 9,050.10

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Solution

The fourth proportional to 27,782.11, 41,658.99 and 9,050.10 is: 13,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.11 : 41,658.99 = 9,050.10 : x
  2. Step 2: Convert to fraction form
    27,782.11/41,658.99 = 9,050.10/x
  3. Step 3: Cross multiply
    27,782.11x = 41,658.99 × 9,050.10
  4. Step 4: Simplify right side
    27,782.11x = 377,018,025.40
  5. Step 5: Solve for x
    x = 377,018,025.40/27,782.11
  6. Step 6: Final answer
    x = 13,570.53

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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.