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Finding the Fourth Proportional to 8,159.68, 11,259.52 and 4,623.20

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Solution

The fourth proportional to 8,159.68, 11,259.52 and 4,623.20 is: 6,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.68 : 11,259.52 = 4,623.20 : x
  2. Step 2: Convert to fraction form
    8,159.68/11,259.52 = 4,623.20/x
  3. Step 3: Cross multiply
    8,159.68x = 11,259.52 × 4,623.20
  4. Step 4: Simplify right side
    8,159.68x = 52,055,012.86
  5. Step 5: Solve for x
    x = 52,055,012.86/8,159.68
  6. Step 6: Final answer
    x = 6,379.54

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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.