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Finding the Fourth Proportional to 6,610, 9,916.44 and 2,506

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Solution

The fourth proportional to 6,610, 9,916.44 and 2,506 is: 3,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610 : 9,916.44 = 2,506 : x
  2. Step 2: Convert to fraction form
    6,610/9,916.44 = 2,506/x
  3. Step 3: Cross multiply
    6,610x = 9,916.44 × 2,506
  4. Step 4: Simplify right side
    6,610x = 24,850,598.64
  5. Step 5: Solve for x
    x = 24,850,598.64/6,610
  6. Step 6: Final answer
    x = 3,759.55

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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.