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Finding the Fourth Proportional to 15,758.06, 21,747.06 and 8,684.48

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Solution

The fourth proportional to 15,758.06, 21,747.06 and 8,684.48 is: 11,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.06 : 21,747.06 = 8,684.48 : x
  2. Step 2: Convert to fraction form
    15,758.06/21,747.06 = 8,684.48/x
  3. Step 3: Cross multiply
    15,758.06x = 21,747.06 × 8,684.48
  4. Step 4: Simplify right side
    15,758.06x = 188,861,907.63
  5. Step 5: Solve for x
    x = 188,861,907.63/15,758.06
  6. Step 6: Final answer
    x = 11,985.10

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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.