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Finding the Fourth Proportional to 9,201.80, 13,802.70 and 7,743.80

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Solution

The fourth proportional to 9,201.80, 13,802.70 and 7,743.80 is: 11,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.80 : 13,802.70 = 7,743.80 : x
  2. Step 2: Convert to fraction form
    9,201.80/13,802.70 = 7,743.80/x
  3. Step 3: Cross multiply
    9,201.80x = 13,802.70 × 7,743.80
  4. Step 4: Simplify right side
    9,201.80x = 106,885,348.26
  5. Step 5: Solve for x
    x = 106,885,348.26/9,201.80
  6. Step 6: Final answer
    x = 11,615.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.