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Finding the Fourth Proportional to 6,951.76, 10,427.70 and 1,757.63

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Solution

The fourth proportional to 6,951.76, 10,427.70 and 1,757.63 is: 2,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.76 : 10,427.70 = 1,757.63 : x
  2. Step 2: Convert to fraction form
    6,951.76/10,427.70 = 1,757.63/x
  3. Step 3: Cross multiply
    6,951.76x = 10,427.70 × 1,757.63
  4. Step 4: Simplify right side
    6,951.76x = 18,328,038.35
  5. Step 5: Solve for x
    x = 18,328,038.35/6,951.76
  6. Step 6: Final answer
    x = 2,636.46

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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.