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Finding the Fourth Proportional to 7,102.74, 9,804.80 and 4,449.60

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Solution

The fourth proportional to 7,102.74, 9,804.80 and 4,449.60 is: 6,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.74 : 9,804.80 = 4,449.60 : x
  2. Step 2: Convert to fraction form
    7,102.74/9,804.80 = 4,449.60/x
  3. Step 3: Cross multiply
    7,102.74x = 9,804.80 × 4,449.60
  4. Step 4: Simplify right side
    7,102.74x = 43,627,415.83
  5. Step 5: Solve for x
    x = 43,627,415.83/7,102.74
  6. Step 6: Final answer
    x = 6,142.34

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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.