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Finding the Fourth Proportional to 13,023.56, 17,972.46 and 7,434.56

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Solution

The fourth proportional to 13,023.56, 17,972.46 and 7,434.56 is: 10,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.56 : 17,972.46 = 7,434.56 : x
  2. Step 2: Convert to fraction form
    13,023.56/17,972.46 = 7,434.56/x
  3. Step 3: Cross multiply
    13,023.56x = 17,972.46 × 7,434.56
  4. Step 4: Simplify right side
    13,023.56x = 133,617,332.22
  5. Step 5: Solve for x
    x = 133,617,332.22/13,023.56
  6. Step 6: Final answer
    x = 10,259.66

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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.