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Finding the Fourth Proportional to 6,206.48, 8,565 and 3,412

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Solution

The fourth proportional to 6,206.48, 8,565 and 3,412 is: 4,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.48 : 8,565 = 3,412 : x
  2. Step 2: Convert to fraction form
    6,206.48/8,565 = 3,412/x
  3. Step 3: Cross multiply
    6,206.48x = 8,565 × 3,412
  4. Step 4: Simplify right side
    6,206.48x = 29,223,780
  5. Step 5: Solve for x
    x = 29,223,780/6,206.48
  6. Step 6: Final answer
    x = 4,708.59

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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.