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Finding the Fourth Proportional to 9,442.68, 14,164.02 and 2,517

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Solution

The fourth proportional to 9,442.68, 14,164.02 and 2,517 is: 3,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.68 : 14,164.02 = 2,517 : x
  2. Step 2: Convert to fraction form
    9,442.68/14,164.02 = 2,517/x
  3. Step 3: Cross multiply
    9,442.68x = 14,164.02 × 2,517
  4. Step 4: Simplify right side
    9,442.68x = 35,650,838.34
  5. Step 5: Solve for x
    x = 35,650,838.34/9,442.68
  6. Step 6: Final answer
    x = 3,775.50

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1.5x scale

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.