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Finding the Fourth Proportional to 6,502.68, 9,735.03 and 4,844.16

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Solution

The fourth proportional to 6,502.68, 9,735.03 and 4,844.16 is: 7,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.68 : 9,735.03 = 4,844.16 : x
  2. Step 2: Convert to fraction form
    6,502.68/9,735.03 = 4,844.16/x
  3. Step 3: Cross multiply
    6,502.68x = 9,735.03 × 4,844.16
  4. Step 4: Simplify right side
    6,502.68x = 47,158,042.92
  5. Step 5: Solve for x
    x = 47,158,042.92/6,502.68
  6. Step 6: Final answer
    x = 7,252.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.