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Finding the Fourth Proportional to 13,023.81, 17,972.81 and 7,055.47

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Solution

The fourth proportional to 13,023.81, 17,972.81 and 7,055.47 is: 9,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.81 : 17,972.81 = 7,055.47 : x
  2. Step 2: Convert to fraction form
    13,023.81/17,972.81 = 7,055.47/x
  3. Step 3: Cross multiply
    13,023.81x = 17,972.81 × 7,055.47
  4. Step 4: Simplify right side
    13,023.81x = 126,806,541.56
  5. Step 5: Solve for x
    x = 126,806,541.56/13,023.81
  6. Step 6: Final answer
    x = 9,736.52

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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.