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Finding the Fourth Proportional to 9,984.26, 13,777.01 and 6,208.04

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Solution

The fourth proportional to 9,984.26, 13,777.01 and 6,208.04 is: 8,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.26 : 13,777.01 = 6,208.04 : x
  2. Step 2: Convert to fraction form
    9,984.26/13,777.01 = 6,208.04/x
  3. Step 3: Cross multiply
    9,984.26x = 13,777.01 × 6,208.04
  4. Step 4: Simplify right side
    9,984.26x = 85,528,229.16
  5. Step 5: Solve for x
    x = 85,528,229.16/9,984.26
  6. Step 6: Final answer
    x = 8,566.31

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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.