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Finding the Fourth Proportional to 27,242.94, 40,866.76 and 7,521.50

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Solution

The fourth proportional to 27,242.94, 40,866.76 and 7,521.50 is: 11,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.94 : 40,866.76 = 7,521.50 : x
  2. Step 2: Convert to fraction form
    27,242.94/40,866.76 = 7,521.50/x
  3. Step 3: Cross multiply
    27,242.94x = 40,866.76 × 7,521.50
  4. Step 4: Simplify right side
    27,242.94x = 307,379,446.91
  5. Step 5: Solve for x
    x = 307,379,446.91/27,242.94
  6. Step 6: Final answer
    x = 11,282.90

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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.