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Finding the Fourth Proportional to 11,579.92, 15,980.34 and 6,274.74

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Solution

The fourth proportional to 11,579.92, 15,980.34 and 6,274.74 is: 8,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.92 : 15,980.34 = 6,274.74 : x
  2. Step 2: Convert to fraction form
    11,579.92/15,980.34 = 6,274.74/x
  3. Step 3: Cross multiply
    11,579.92x = 15,980.34 × 6,274.74
  4. Step 4: Simplify right side
    11,579.92x = 100,272,478.61
  5. Step 5: Solve for x
    x = 100,272,478.61/11,579.92
  6. Step 6: Final answer
    x = 8,659.17

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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.