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Finding the Fourth Proportional to 6,358.68, 9,538.02 and 2,893.50

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Solution

The fourth proportional to 6,358.68, 9,538.02 and 2,893.50 is: 4,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.68 : 9,538.02 = 2,893.50 : x
  2. Step 2: Convert to fraction form
    6,358.68/9,538.02 = 2,893.50/x
  3. Step 3: Cross multiply
    6,358.68x = 9,538.02 × 2,893.50
  4. Step 4: Simplify right side
    6,358.68x = 27,598,260.87
  5. Step 5: Solve for x
    x = 27,598,260.87/6,358.68
  6. Step 6: Final answer
    x = 4,340.25

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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.