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Finding the Fourth Proportional to 13,708.12, 18,916.44 and 7,741

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Solution

The fourth proportional to 13,708.12, 18,916.44 and 7,741 is: 10,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.12 : 18,916.44 = 7,741 : x
  2. Step 2: Convert to fraction form
    13,708.12/18,916.44 = 7,741/x
  3. Step 3: Cross multiply
    13,708.12x = 18,916.44 × 7,741
  4. Step 4: Simplify right side
    13,708.12x = 146,432,162.04
  5. Step 5: Solve for x
    x = 146,432,162.04/13,708.12
  6. Step 6: Final answer
    x = 10,682.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.