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Finding the Fourth Proportional to 6,206.60, 8,565 and 3,412.10

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Solution

The fourth proportional to 6,206.60, 8,565 and 3,412.10 is: 4,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.60 : 8,565 = 3,412.10 : x
  2. Step 2: Convert to fraction form
    6,206.60/8,565 = 3,412.10/x
  3. Step 3: Cross multiply
    6,206.60x = 8,565 × 3,412.10
  4. Step 4: Simplify right side
    6,206.60x = 29,224,636.50
  5. Step 5: Solve for x
    x = 29,224,636.50/6,206.60
  6. Step 6: Final answer
    x = 4,708.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.