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Finding the Fourth Proportional to 9,662.92, 14,483.14 and 7,910.89

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Solution

The fourth proportional to 9,662.92, 14,483.14 and 7,910.89 is: 11,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.92 : 14,483.14 = 7,910.89 : x
  2. Step 2: Convert to fraction form
    9,662.92/14,483.14 = 7,910.89/x
  3. Step 3: Cross multiply
    9,662.92x = 14,483.14 × 7,910.89
  4. Step 4: Simplify right side
    9,662.92x = 114,574,471.41
  5. Step 5: Solve for x
    x = 114,574,471.41/9,662.92
  6. Step 6: Final answer
    x = 11,857.13

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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.