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Finding the Fourth Proportional to 7,122.12, 9,828.60 and 3,978.48

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Solution

The fourth proportional to 7,122.12, 9,828.60 and 3,978.48 is: 5,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.12 : 9,828.60 = 3,978.48 : x
  2. Step 2: Convert to fraction form
    7,122.12/9,828.60 = 3,978.48/x
  3. Step 3: Cross multiply
    7,122.12x = 9,828.60 × 3,978.48
  4. Step 4: Simplify right side
    7,122.12x = 39,102,888.53
  5. Step 5: Solve for x
    x = 39,102,888.53/7,122.12
  6. Step 6: Final answer
    x = 5,490.34

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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.