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Finding the Fourth Proportional to 6,991.64, 9,643.40 and 4,749.60

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Solution

The fourth proportional to 6,991.64, 9,643.40 and 4,749.60 is: 6,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.64 : 9,643.40 = 4,749.60 : x
  2. Step 2: Convert to fraction form
    6,991.64/9,643.40 = 4,749.60/x
  3. Step 3: Cross multiply
    6,991.64x = 9,643.40 × 4,749.60
  4. Step 4: Simplify right side
    6,991.64x = 45,802,292.64
  5. Step 5: Solve for x
    x = 45,802,292.64/6,991.64
  6. Step 6: Final answer
    x = 6,551.01

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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.