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Finding the Fourth Proportional to 8,356.86, 11,529.63 and 4,769.24

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Solution

The fourth proportional to 8,356.86, 11,529.63 and 4,769.24 is: 6,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.86 : 11,529.63 = 4,769.24 : x
  2. Step 2: Convert to fraction form
    8,356.86/11,529.63 = 4,769.24/x
  3. Step 3: Cross multiply
    8,356.86x = 11,529.63 × 4,769.24
  4. Step 4: Simplify right side
    8,356.86x = 54,987,514.93
  5. Step 5: Solve for x
    x = 54,987,514.93/8,356.86
  6. Step 6: Final answer
    x = 6,579.93

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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.