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Finding the Fourth Proportional to 13,048.64, 19,538.13 and 7,493.66

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Solution

The fourth proportional to 13,048.64, 19,538.13 and 7,493.66 is: 11,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.64 : 19,538.13 = 7,493.66 : x
  2. Step 2: Convert to fraction form
    13,048.64/19,538.13 = 7,493.66/x
  3. Step 3: Cross multiply
    13,048.64x = 19,538.13 × 7,493.66
  4. Step 4: Simplify right side
    13,048.64x = 146,412,103.26
  5. Step 5: Solve for x
    x = 146,412,103.26/13,048.64
  6. Step 6: Final answer
    x = 11,220.49

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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.