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Finding the Fourth Proportional to 15,702.76, 21,669.90 and 8,629.24

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Solution

The fourth proportional to 15,702.76, 21,669.90 and 8,629.24 is: 11,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.76 : 21,669.90 = 8,629.24 : x
  2. Step 2: Convert to fraction form
    15,702.76/21,669.90 = 8,629.24/x
  3. Step 3: Cross multiply
    15,702.76x = 21,669.90 × 8,629.24
  4. Step 4: Simplify right side
    15,702.76x = 186,994,767.88
  5. Step 5: Solve for x
    x = 186,994,767.88/15,702.76
  6. Step 6: Final answer
    x = 11,908.40

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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.