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Finding the Fourth Proportional to 9,605.92, 14,384.18 and 7,722.96

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Solution

The fourth proportional to 9,605.92, 14,384.18 and 7,722.96 is: 11,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.92 : 14,384.18 = 7,722.96 : x
  2. Step 2: Convert to fraction form
    9,605.92/14,384.18 = 7,722.96/x
  3. Step 3: Cross multiply
    9,605.92x = 14,384.18 × 7,722.96
  4. Step 4: Simplify right side
    9,605.92x = 111,088,446.77
  5. Step 5: Solve for x
    x = 111,088,446.77/9,605.92
  6. Step 6: Final answer
    x = 11,564.58

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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.