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Finding the Fourth Proportional to 9,856.44, 14,776.81 and 5,691.74

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Solution

The fourth proportional to 9,856.44, 14,776.81 and 5,691.74 is: 8,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.44 : 14,776.81 = 5,691.74 : x
  2. Step 2: Convert to fraction form
    9,856.44/14,776.81 = 5,691.74/x
  3. Step 3: Cross multiply
    9,856.44x = 14,776.81 × 5,691.74
  4. Step 4: Simplify right side
    9,856.44x = 84,105,672.44
  5. Step 5: Solve for x
    x = 84,105,672.44/9,856.44
  6. Step 6: Final answer
    x = 8,533.07

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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.