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Finding the Fourth Proportional to 6,189.63, 9,273.63 and 5,156.25

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Solution

The fourth proportional to 6,189.63, 9,273.63 and 5,156.25 is: 7,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.63 : 9,273.63 = 5,156.25 : x
  2. Step 2: Convert to fraction form
    6,189.63/9,273.63 = 5,156.25/x
  3. Step 3: Cross multiply
    6,189.63x = 9,273.63 × 5,156.25
  4. Step 4: Simplify right side
    6,189.63x = 47,817,154.69
  5. Step 5: Solve for x
    x = 47,817,154.69/6,189.63
  6. Step 6: Final answer
    x = 7,725.37

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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.