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Finding the Fourth Proportional to 13,015.74, 17,943.04 and 9,283.26

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Solution

The fourth proportional to 13,015.74, 17,943.04 and 9,283.26 is: 12,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.74 : 17,943.04 = 9,283.26 : x
  2. Step 2: Convert to fraction form
    13,015.74/17,943.04 = 9,283.26/x
  3. Step 3: Cross multiply
    13,015.74x = 17,943.04 × 9,283.26
  4. Step 4: Simplify right side
    13,015.74x = 166,569,905.51
  5. Step 5: Solve for x
    x = 166,569,905.51/13,015.74
  6. Step 6: Final answer
    x = 12,797.57

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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.