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Finding the Fourth Proportional to 6,292.16, 8,683.62 and 3,497.84

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Solution

The fourth proportional to 6,292.16, 8,683.62 and 3,497.84 is: 4,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.16 : 8,683.62 = 3,497.84 : x
  2. Step 2: Convert to fraction form
    6,292.16/8,683.62 = 3,497.84/x
  3. Step 3: Cross multiply
    6,292.16x = 8,683.62 × 3,497.84
  4. Step 4: Simplify right side
    6,292.16x = 30,373,913.38
  5. Step 5: Solve for x
    x = 30,373,913.38/6,292.16
  6. Step 6: Final answer
    x = 4,827.26

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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.