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Finding the Fourth Proportional to 13,410.83, 18,509.14 and 7,444.41

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Solution

The fourth proportional to 13,410.83, 18,509.14 and 7,444.41 is: 10,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.83 : 18,509.14 = 7,444.41 : x
  2. Step 2: Convert to fraction form
    13,410.83/18,509.14 = 7,444.41/x
  3. Step 3: Cross multiply
    13,410.83x = 18,509.14 × 7,444.41
  4. Step 4: Simplify right side
    13,410.83x = 137,789,626.91
  5. Step 5: Solve for x
    x = 137,789,626.91/13,410.83
  6. Step 6: Final answer
    x = 10,274.50

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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.