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Finding the Fourth Proportional to 7,740.93, 11,609.94 and 2,192.94

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Solution

The fourth proportional to 7,740.93, 11,609.94 and 2,192.94 is: 3,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.93 : 11,609.94 = 2,192.94 : x
  2. Step 2: Convert to fraction form
    7,740.93/11,609.94 = 2,192.94/x
  3. Step 3: Cross multiply
    7,740.93x = 11,609.94 × 2,192.94
  4. Step 4: Simplify right side
    7,740.93x = 25,459,901.82
  5. Step 5: Solve for x
    x = 25,459,901.82/7,740.93
  6. Step 6: Final answer
    x = 3,289.00

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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.