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Finding the Fourth Proportional to 9,308.64, 13,963.56 and 4,114.50

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Solution

The fourth proportional to 9,308.64, 13,963.56 and 4,114.50 is: 6,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.64 : 13,963.56 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    9,308.64/13,963.56 = 4,114.50/x
  3. Step 3: Cross multiply
    9,308.64x = 13,963.56 × 4,114.50
  4. Step 4: Simplify right side
    9,308.64x = 57,453,067.62
  5. Step 5: Solve for x
    x = 57,453,067.62/9,308.64
  6. Step 6: Final answer
    x = 6,172.02

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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.