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Finding the Fourth Proportional to 7,192.80, 9,914.40 and 5,203.44

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Solution

The fourth proportional to 7,192.80, 9,914.40 and 5,203.44 is: 7,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.80 : 9,914.40 = 5,203.44 : x
  2. Step 2: Convert to fraction form
    7,192.80/9,914.40 = 5,203.44/x
  3. Step 3: Cross multiply
    7,192.80x = 9,914.40 × 5,203.44
  4. Step 4: Simplify right side
    7,192.80x = 51,588,985.54
  5. Step 5: Solve for x
    x = 51,588,985.54/7,192.80
  6. Step 6: Final answer
    x = 7,172.31

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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.