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Finding the Fourth Proportional to 13,033.82, 17,989.08 and 7,444.82

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Solution

The fourth proportional to 13,033.82, 17,989.08 and 7,444.82 is: 10,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.82 : 17,989.08 = 7,444.82 : x
  2. Step 2: Convert to fraction form
    13,033.82/17,989.08 = 7,444.82/x
  3. Step 3: Cross multiply
    13,033.82x = 17,989.08 × 7,444.82
  4. Step 4: Simplify right side
    13,033.82x = 133,925,462.57
  5. Step 5: Solve for x
    x = 133,925,462.57/13,033.82
  6. Step 6: Final answer
    x = 10,275.23

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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.