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Finding the Fourth Proportional to 13,023.59, 19,478.95 and 7,674.01

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Solution

The fourth proportional to 13,023.59, 19,478.95 and 7,674.01 is: 11,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.59 : 19,478.95 = 7,674.01 : x
  2. Step 2: Convert to fraction form
    13,023.59/19,478.95 = 7,674.01/x
  3. Step 3: Cross multiply
    13,023.59x = 19,478.95 × 7,674.01
  4. Step 4: Simplify right side
    13,023.59x = 149,481,589.21
  5. Step 5: Solve for x
    x = 149,481,589.21/13,023.59
  6. Step 6: Final answer
    x = 11,477.76

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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.