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Finding the Fourth Proportional to 6,735.68, 9,284.64 and 4,961.60

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Solution

The fourth proportional to 6,735.68, 9,284.64 and 4,961.60 is: 6,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.68 : 9,284.64 = 4,961.60 : x
  2. Step 2: Convert to fraction form
    6,735.68/9,284.64 = 4,961.60/x
  3. Step 3: Cross multiply
    6,735.68x = 9,284.64 × 4,961.60
  4. Step 4: Simplify right side
    6,735.68x = 46,066,669.82
  5. Step 5: Solve for x
    x = 46,066,669.82/6,735.68
  6. Step 6: Final answer
    x = 6,839.20

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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.