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Finding the Fourth Proportional to 8,279.64, 12,415.80 and 5,154.96

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Solution

The fourth proportional to 8,279.64, 12,415.80 and 5,154.96 is: 7,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.64 : 12,415.80 = 5,154.96 : x
  2. Step 2: Convert to fraction form
    8,279.64/12,415.80 = 5,154.96/x
  3. Step 3: Cross multiply
    8,279.64x = 12,415.80 × 5,154.96
  4. Step 4: Simplify right side
    8,279.64x = 64,002,952.37
  5. Step 5: Solve for x
    x = 64,002,952.37/8,279.64
  6. Step 6: Final answer
    x = 7,730.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.