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Finding the Fourth Proportional to 6,493.16, 8,960.36 and 3,840.68

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Solution

The fourth proportional to 6,493.16, 8,960.36 and 3,840.68 is: 5,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.16 : 8,960.36 = 3,840.68 : x
  2. Step 2: Convert to fraction form
    6,493.16/8,960.36 = 3,840.68/x
  3. Step 3: Cross multiply
    6,493.16x = 8,960.36 × 3,840.68
  4. Step 4: Simplify right side
    6,493.16x = 34,413,875.44
  5. Step 5: Solve for x
    x = 34,413,875.44/6,493.16
  6. Step 6: Final answer
    x = 5,300.02

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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.