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Finding the Fourth Proportional to 9,856.32, 14,776.62 and 5,691.60

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Solution

The fourth proportional to 9,856.32, 14,776.62 and 5,691.60 is: 8,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.32 : 14,776.62 = 5,691.60 : x
  2. Step 2: Convert to fraction form
    9,856.32/14,776.62 = 5,691.60/x
  3. Step 3: Cross multiply
    9,856.32x = 14,776.62 × 5,691.60
  4. Step 4: Simplify right side
    9,856.32x = 84,102,610.39
  5. Step 5: Solve for x
    x = 84,102,610.39/9,856.32
  6. Step 6: Final answer
    x = 8,532.86

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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.