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Finding the Fourth Proportional to 13,022.98, 17,970.64 and 7,358.22

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Solution

The fourth proportional to 13,022.98, 17,970.64 and 7,358.22 is: 10,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.98 : 17,970.64 = 7,358.22 : x
  2. Step 2: Convert to fraction form
    13,022.98/17,970.64 = 7,358.22/x
  3. Step 3: Cross multiply
    13,022.98x = 17,970.64 × 7,358.22
  4. Step 4: Simplify right side
    13,022.98x = 132,231,922.66
  5. Step 5: Solve for x
    x = 132,231,922.66/13,022.98
  6. Step 6: Final answer
    x = 10,153.74

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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.