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Finding the Fourth Proportional to 15,896.85, 21,937.01 and 9,184.38

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Solution

The fourth proportional to 15,896.85, 21,937.01 and 9,184.38 is: 12,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.85 : 21,937.01 = 9,184.38 : x
  2. Step 2: Convert to fraction form
    15,896.85/21,937.01 = 9,184.38/x
  3. Step 3: Cross multiply
    15,896.85x = 21,937.01 × 9,184.38
  4. Step 4: Simplify right side
    15,896.85x = 201,477,789.98
  5. Step 5: Solve for x
    x = 201,477,789.98/15,896.85
  6. Step 6: Final answer
    x = 12,674.07

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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.