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Finding the Fourth Proportional to 7,174.93, 10,763.01 and 1,980.80

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Solution

The fourth proportional to 7,174.93, 10,763.01 and 1,980.80 is: 2,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.93 : 10,763.01 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    7,174.93/10,763.01 = 1,980.80/x
  3. Step 3: Cross multiply
    7,174.93x = 10,763.01 × 1,980.80
  4. Step 4: Simplify right side
    7,174.93x = 21,319,370.21
  5. Step 5: Solve for x
    x = 21,319,370.21/7,174.93
  6. Step 6: Final answer
    x = 2,971.37

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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.