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Finding the Fourth Proportional to 7,122.54, 9,829.59 and 3,978.66

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Solution

The fourth proportional to 7,122.54, 9,829.59 and 3,978.66 is: 5,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.54 : 9,829.59 = 3,978.66 : x
  2. Step 2: Convert to fraction form
    7,122.54/9,829.59 = 3,978.66/x
  3. Step 3: Cross multiply
    7,122.54x = 9,829.59 × 3,978.66
  4. Step 4: Simplify right side
    7,122.54x = 39,108,596.55
  5. Step 5: Solve for x
    x = 39,108,596.55/7,122.54
  6. Step 6: Final answer
    x = 5,490.82

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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.