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Finding the Fourth Proportional to 6,224.42, 8,590.02 and 3,429.92

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Solution

The fourth proportional to 6,224.42, 8,590.02 and 3,429.92 is: 4,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.42 : 8,590.02 = 3,429.92 : x
  2. Step 2: Convert to fraction form
    6,224.42/8,590.02 = 3,429.92/x
  3. Step 3: Cross multiply
    6,224.42x = 8,590.02 × 3,429.92
  4. Step 4: Simplify right side
    6,224.42x = 29,463,081.40
  5. Step 5: Solve for x
    x = 29,463,081.40/6,224.42
  6. Step 6: Final answer
    x = 4,733.47

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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.