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Finding the Fourth Proportional to 5,308.74, 7,963.13 and 1,611

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Solution

The fourth proportional to 5,308.74, 7,963.13 and 1,611 is: 2,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.74 : 7,963.13 = 1,611 : x
  2. Step 2: Convert to fraction form
    5,308.74/7,963.13 = 1,611/x
  3. Step 3: Cross multiply
    5,308.74x = 7,963.13 × 1,611
  4. Step 4: Simplify right side
    5,308.74x = 12,828,594.38
  5. Step 5: Solve for x
    x = 12,828,594.38/5,308.74
  6. Step 6: Final answer
    x = 2,416.50

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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.