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Finding the Fourth Proportional to 9,648.72, 14,471.64 and 8,015.76

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Solution

The fourth proportional to 9,648.72, 14,471.64 and 8,015.76 is: 12,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.72 : 14,471.64 = 8,015.76 : x
  2. Step 2: Convert to fraction form
    9,648.72/14,471.64 = 8,015.76/x
  3. Step 3: Cross multiply
    9,648.72x = 14,471.64 × 8,015.76
  4. Step 4: Simplify right side
    9,648.72x = 116,001,193.05
  5. Step 5: Solve for x
    x = 116,001,193.05/9,648.72
  6. Step 6: Final answer
    x = 12,022.44

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Double scale
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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.