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Finding the Fourth Proportional to 6,275, 9,404.37 and 4,702.70

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Solution

The fourth proportional to 6,275, 9,404.37 and 4,702.70 is: 7,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275 : 9,404.37 = 4,702.70 : x
  2. Step 2: Convert to fraction form
    6,275/9,404.37 = 4,702.70/x
  3. Step 3: Cross multiply
    6,275x = 9,404.37 × 4,702.70
  4. Step 4: Simplify right side
    6,275x = 44,225,930.80
  5. Step 5: Solve for x
    x = 44,225,930.80/6,275
  6. Step 6: Final answer
    x = 7,047.96

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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.