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Finding the Fourth Proportional to 6,856.44, 9,461.90 and 3,712.63

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Solution

The fourth proportional to 6,856.44, 9,461.90 and 3,712.63 is: 5,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.44 : 9,461.90 = 3,712.63 : x
  2. Step 2: Convert to fraction form
    6,856.44/9,461.90 = 3,712.63/x
  3. Step 3: Cross multiply
    6,856.44x = 9,461.90 × 3,712.63
  4. Step 4: Simplify right side
    6,856.44x = 35,128,533.80
  5. Step 5: Solve for x
    x = 35,128,533.80/6,856.44
  6. Step 6: Final answer
    x = 5,123.44

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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.