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Finding the Fourth Proportional to 6,570, 9,856.44 and 2,466

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Solution

The fourth proportional to 6,570, 9,856.44 and 2,466 is: 3,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 9,856.44 = 2,466 : x
  2. Step 2: Convert to fraction form
    6,570/9,856.44 = 2,466/x
  3. Step 3: Cross multiply
    6,570x = 9,856.44 × 2,466
  4. Step 4: Simplify right side
    6,570x = 24,305,981.04
  5. Step 5: Solve for x
    x = 24,305,981.04/6,570
  6. Step 6: Final answer
    x = 3,699.54

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Why These Related Problems?

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