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Finding the Fourth Proportional to 8,566, 12,849 and 2,410

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Solution

The fourth proportional to 8,566, 12,849 and 2,410 is: 3,615

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 12,849 = 2,410 : x
  2. Step 2: Convert to fraction form
    8,566/12,849 = 2,410/x
  3. Step 3: Cross multiply
    8,566x = 12,849 × 2,410
  4. Step 4: Simplify right side
    8,566x = 30,966,090
  5. Step 5: Solve for x
    x = 30,966,090/8,566
  6. Step 6: Final answer
    x = 3,615

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.