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Finding the Fourth Proportional to 27,000.26, 40,510.11 and 9,472.82

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Solution

The fourth proportional to 27,000.26, 40,510.11 and 9,472.82 is: 14,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.26 : 40,510.11 = 9,472.82 : x
  2. Step 2: Convert to fraction form
    27,000.26/40,510.11 = 9,472.82/x
  3. Step 3: Cross multiply
    27,000.26x = 40,510.11 × 9,472.82
  4. Step 4: Simplify right side
    27,000.26x = 383,744,980.21
  5. Step 5: Solve for x
    x = 383,744,980.21/27,000.26
  6. Step 6: Final answer
    x = 14,212.64

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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.