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Finding the Fourth Proportional to 11,579.86, 15,980.28 and 6,274.72

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Solution

The fourth proportional to 11,579.86, 15,980.28 and 6,274.72 is: 8,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.86 : 15,980.28 = 6,274.72 : x
  2. Step 2: Convert to fraction form
    11,579.86/15,980.28 = 6,274.72/x
  3. Step 3: Cross multiply
    11,579.86x = 15,980.28 × 6,274.72
  4. Step 4: Simplify right side
    11,579.86x = 100,271,782.52
  5. Step 5: Solve for x
    x = 100,271,782.52/11,579.86
  6. Step 6: Final answer
    x = 8,659.15

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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.