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Finding the Fourth Proportional to 6,157.50, 8,497.35 and 3,363

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Solution

The fourth proportional to 6,157.50, 8,497.35 and 3,363 is: 4,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.50 : 8,497.35 = 3,363 : x
  2. Step 2: Convert to fraction form
    6,157.50/8,497.35 = 3,363/x
  3. Step 3: Cross multiply
    6,157.50x = 8,497.35 × 3,363
  4. Step 4: Simplify right side
    6,157.50x = 28,576,588.05
  5. Step 5: Solve for x
    x = 28,576,588.05/6,157.50
  6. Step 6: Final answer
    x = 4,640.94

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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.