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Finding the Fourth Proportional to 6,984.95, 10,480.26 and 4,488.93

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Solution

The fourth proportional to 6,984.95, 10,480.26 and 4,488.93 is: 6,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.95 : 10,480.26 = 4,488.93 : x
  2. Step 2: Convert to fraction form
    6,984.95/10,480.26 = 4,488.93/x
  3. Step 3: Cross multiply
    6,984.95x = 10,480.26 × 4,488.93
  4. Step 4: Simplify right side
    6,984.95x = 47,045,153.52
  5. Step 5: Solve for x
    x = 47,045,153.52/6,984.95
  6. Step 6: Final answer
    x = 6,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.