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Finding the Fourth Proportional to 4,735.64, 6,535.05 and 2,968.22

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Solution

The fourth proportional to 4,735.64, 6,535.05 and 2,968.22 is: 4,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.64 : 6,535.05 = 2,968.22 : x
  2. Step 2: Convert to fraction form
    4,735.64/6,535.05 = 2,968.22/x
  3. Step 3: Cross multiply
    4,735.64x = 6,535.05 × 2,968.22
  4. Step 4: Simplify right side
    4,735.64x = 19,397,466.11
  5. Step 5: Solve for x
    x = 19,397,466.11/4,735.64
  6. Step 6: Final answer
    x = 4,096.06

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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.