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Finding the Fourth Proportional to 13,009.46, 19,507.36 and 6,754.19

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Solution

The fourth proportional to 13,009.46, 19,507.36 and 6,754.19 is: 10,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.46 : 19,507.36 = 6,754.19 : x
  2. Step 2: Convert to fraction form
    13,009.46/19,507.36 = 6,754.19/x
  3. Step 3: Cross multiply
    13,009.46x = 19,507.36 × 6,754.19
  4. Step 4: Simplify right side
    13,009.46x = 131,756,295.08
  5. Step 5: Solve for x
    x = 131,756,295.08/13,009.46
  6. Step 6: Final answer
    x = 10,127.73

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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.