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Finding the Fourth Proportional to 9,973, 13,761.92 and 5,725.36

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Solution

The fourth proportional to 9,973, 13,761.92 and 5,725.36 is: 7,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973 : 13,761.92 = 5,725.36 : x
  2. Step 2: Convert to fraction form
    9,973/13,761.92 = 5,725.36/x
  3. Step 3: Cross multiply
    9,973x = 13,761.92 × 5,725.36
  4. Step 4: Simplify right side
    9,973x = 78,791,946.29
  5. Step 5: Solve for x
    x = 78,791,946.29/9,973
  6. Step 6: Final answer
    x = 7,900.53

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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.