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Finding the Fourth Proportional to 15,702.74, 21,669.89 and 8,629.14

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Solution

The fourth proportional to 15,702.74, 21,669.89 and 8,629.14 is: 11,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.74 : 21,669.89 = 8,629.14 : x
  2. Step 2: Convert to fraction form
    15,702.74/21,669.89 = 8,629.14/x
  3. Step 3: Cross multiply
    15,702.74x = 21,669.89 × 8,629.14
  4. Step 4: Simplify right side
    15,702.74x = 186,992,471.45
  5. Step 5: Solve for x
    x = 186,992,471.45/15,702.74
  6. Step 6: Final answer
    x = 11,908.27

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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.