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Finding the Fourth Proportional to 13,022.53, 17,970.96 and 7,053.84

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Solution

The fourth proportional to 13,022.53, 17,970.96 and 7,053.84 is: 9,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.53 : 17,970.96 = 7,053.84 : x
  2. Step 2: Convert to fraction form
    13,022.53/17,970.96 = 7,053.84/x
  3. Step 3: Cross multiply
    13,022.53x = 17,970.96 × 7,053.84
  4. Step 4: Simplify right side
    13,022.53x = 126,764,276.49
  5. Step 5: Solve for x
    x = 126,764,276.49/13,022.53
  6. Step 6: Final answer
    x = 9,734.23

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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.