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Finding the Fourth Proportional to 9,354.14, 14,033.64 and 7,691

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Solution

The fourth proportional to 9,354.14, 14,033.64 and 7,691 is: 11,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.14 : 14,033.64 = 7,691 : x
  2. Step 2: Convert to fraction form
    9,354.14/14,033.64 = 7,691/x
  3. Step 3: Cross multiply
    9,354.14x = 14,033.64 × 7,691
  4. Step 4: Simplify right side
    9,354.14x = 107,932,725.24
  5. Step 5: Solve for x
    x = 107,932,725.24/9,354.14
  6. Step 6: Final answer
    x = 11,538.50

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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.