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Finding the Fourth Proportional to 41,109.31, 61,664 and 9,944.59

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Solution

The fourth proportional to 41,109.31, 61,664 and 9,944.59 is: 14,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109.31 : 61,664 = 9,944.59 : x
  2. Step 2: Convert to fraction form
    41,109.31/61,664 = 9,944.59/x
  3. Step 3: Cross multiply
    41,109.31x = 61,664 × 9,944.59
  4. Step 4: Simplify right side
    41,109.31x = 613,223,197.76
  5. Step 5: Solve for x
    x = 613,223,197.76/41,109.31
  6. Step 6: Final answer
    x = 14,916.89

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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.