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Finding the Fourth Proportional to 9,205.01, 12,702.91 and 5,013.26

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Solution

The fourth proportional to 9,205.01, 12,702.91 and 5,013.26 is: 6,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.01 : 12,702.91 = 5,013.26 : x
  2. Step 2: Convert to fraction form
    9,205.01/12,702.91 = 5,013.26/x
  3. Step 3: Cross multiply
    9,205.01x = 12,702.91 × 5,013.26
  4. Step 4: Simplify right side
    9,205.01x = 63,682,990.59
  5. Step 5: Solve for x
    x = 63,682,990.59/9,205.01
  6. Step 6: Final answer
    x = 6,918.30

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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.