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Finding the Fourth Proportional to 18,283.49, 27,427.49 and 6,434.47

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Solution

The fourth proportional to 18,283.49, 27,427.49 and 6,434.47 is: 9,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.49 : 27,427.49 = 6,434.47 : x
  2. Step 2: Convert to fraction form
    18,283.49/27,427.49 = 6,434.47/x
  3. Step 3: Cross multiply
    18,283.49x = 27,427.49 × 6,434.47
  4. Step 4: Simplify right side
    18,283.49x = 176,481,361.58
  5. Step 5: Solve for x
    x = 176,481,361.58/18,283.49
  6. Step 6: Final answer
    x = 9,652.50

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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.