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Finding the Fourth Proportional to 9,526, 14,289.18 and 2,600.68

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Solution

The fourth proportional to 9,526, 14,289.18 and 2,600.68 is: 3,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526 : 14,289.18 = 2,600.68 : x
  2. Step 2: Convert to fraction form
    9,526/14,289.18 = 2,600.68/x
  3. Step 3: Cross multiply
    9,526x = 14,289.18 × 2,600.68
  4. Step 4: Simplify right side
    9,526x = 37,161,584.64
  5. Step 5: Solve for x
    x = 37,161,584.64/9,526
  6. Step 6: Final answer
    x = 3,901.07

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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.