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Finding the Fourth Proportional to 8,111.00, 11,193.10 and 4,574.14

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Solution

The fourth proportional to 8,111.00, 11,193.10 and 4,574.14 is: 6,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.00 : 11,193.10 = 4,574.14 : x
  2. Step 2: Convert to fraction form
    8,111.00/11,193.10 = 4,574.14/x
  3. Step 3: Cross multiply
    8,111.00x = 11,193.10 × 4,574.14
  4. Step 4: Simplify right side
    8,111.00x = 51,198,767.02
  5. Step 5: Solve for x
    x = 51,198,767.02/8,111.00
  6. Step 6: Final answer
    x = 6,312.26

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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.