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Finding the Fourth Proportional to 19,595.50, 27,041 and 10,642.76

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Solution

The fourth proportional to 19,595.50, 27,041 and 10,642.76 is: 14,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,595.50 : 27,041 = 10,642.76 : x
  2. Step 2: Convert to fraction form
    19,595.50/27,041 = 10,642.76/x
  3. Step 3: Cross multiply
    19,595.50x = 27,041 × 10,642.76
  4. Step 4: Simplify right side
    19,595.50x = 287,790,873.16
  5. Step 5: Solve for x
    x = 287,790,873.16/19,595.50
  6. Step 6: Final answer
    x = 14,686.58

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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.