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Finding the Fourth Proportional to 8,051.99, 11,109.47 and 5,219.48

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Solution

The fourth proportional to 8,051.99, 11,109.47 and 5,219.48 is: 7,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.99 : 11,109.47 = 5,219.48 : x
  2. Step 2: Convert to fraction form
    8,051.99/11,109.47 = 5,219.48/x
  3. Step 3: Cross multiply
    8,051.99x = 11,109.47 × 5,219.48
  4. Step 4: Simplify right side
    8,051.99x = 57,985,574.83
  5. Step 5: Solve for x
    x = 57,985,574.83/8,051.99
  6. Step 6: Final answer
    x = 7,201.40

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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.