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Finding the Fourth Proportional to 27,497.61, 41,247.23 and 7,774.11

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Solution

The fourth proportional to 27,497.61, 41,247.23 and 7,774.11 is: 11,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.61 : 41,247.23 = 7,774.11 : x
  2. Step 2: Convert to fraction form
    27,497.61/41,247.23 = 7,774.11/x
  3. Step 3: Cross multiply
    27,497.61x = 41,247.23 × 7,774.11
  4. Step 4: Simplify right side
    27,497.61x = 320,660,464.34
  5. Step 5: Solve for x
    x = 320,660,464.34/27,497.61
  6. Step 6: Final answer
    x = 11,661.39

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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.