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Finding the Fourth Proportional to 15,200.51, 20,978.82 and 8,486.57

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Solution

The fourth proportional to 15,200.51, 20,978.82 and 8,486.57 is: 11,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.51 : 20,978.82 = 8,486.57 : x
  2. Step 2: Convert to fraction form
    15,200.51/20,978.82 = 8,486.57/x
  3. Step 3: Cross multiply
    15,200.51x = 20,978.82 × 8,486.57
  4. Step 4: Simplify right side
    15,200.51x = 178,038,119.55
  5. Step 5: Solve for x
    x = 178,038,119.55/15,200.51
  6. Step 6: Final answer
    x = 11,712.65

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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.