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Finding the Fourth Proportional to 7,309, 10,967.26 and 4,024.68

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Solution

The fourth proportional to 7,309, 10,967.26 and 4,024.68 is: 6,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309 : 10,967.26 = 4,024.68 : x
  2. Step 2: Convert to fraction form
    7,309/10,967.26 = 4,024.68/x
  3. Step 3: Cross multiply
    7,309x = 10,967.26 × 4,024.68
  4. Step 4: Simplify right side
    7,309x = 44,139,711.98
  5. Step 5: Solve for x
    x = 44,139,711.98/7,309
  6. Step 6: Final answer
    x = 6,039.09

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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.