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Finding the Fourth Proportional to 8,603.74, 11,876.80 and 5,813.02

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Solution

The fourth proportional to 8,603.74, 11,876.80 and 5,813.02 is: 8,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.74 : 11,876.80 = 5,813.02 : x
  2. Step 2: Convert to fraction form
    8,603.74/11,876.80 = 5,813.02/x
  3. Step 3: Cross multiply
    8,603.74x = 11,876.80 × 5,813.02
  4. Step 4: Simplify right side
    8,603.74x = 69,040,075.94
  5. Step 5: Solve for x
    x = 69,040,075.94/8,603.74
  6. Step 6: Final answer
    x = 8,024.43

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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.