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Finding the Fourth Proportional to 27,671.61, 41,501.30 and 7,945.77

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Solution

The fourth proportional to 27,671.61, 41,501.30 and 7,945.77 is: 11,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.61 : 41,501.30 = 7,945.77 : x
  2. Step 2: Convert to fraction form
    27,671.61/41,501.30 = 7,945.77/x
  3. Step 3: Cross multiply
    27,671.61x = 41,501.30 × 7,945.77
  4. Step 4: Simplify right side
    27,671.61x = 329,759,744.77
  5. Step 5: Solve for x
    x = 329,759,744.77/27,671.61
  6. Step 6: Final answer
    x = 11,916.90

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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.