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Finding the Fourth Proportional to 6,206.74, 8,565.72 and 3,412.24

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Solution

The fourth proportional to 6,206.74, 8,565.72 and 3,412.24 is: 4,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.74 : 8,565.72 = 3,412.24 : x
  2. Step 2: Convert to fraction form
    6,206.74/8,565.72 = 3,412.24/x
  3. Step 3: Cross multiply
    6,206.74x = 8,565.72 × 3,412.24
  4. Step 4: Simplify right side
    6,206.74x = 29,228,292.41
  5. Step 5: Solve for x
    x = 29,228,292.41/6,206.74
  6. Step 6: Final answer
    x = 4,709.12

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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.