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Finding the Fourth Proportional to 7,501.50, 10,352.07 and 4,189.50

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Solution

The fourth proportional to 7,501.50, 10,352.07 and 4,189.50 is: 5,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.50 : 10,352.07 = 4,189.50 : x
  2. Step 2: Convert to fraction form
    7,501.50/10,352.07 = 4,189.50/x
  3. Step 3: Cross multiply
    7,501.50x = 10,352.07 × 4,189.50
  4. Step 4: Simplify right side
    7,501.50x = 43,369,997.27
  5. Step 5: Solve for x
    x = 43,369,997.27/7,501.50
  6. Step 6: Final answer
    x = 5,781.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.