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Finding the Fourth Proportional to 6,664.96, 9,998.07 and 1,734.67

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Solution

The fourth proportional to 6,664.96, 9,998.07 and 1,734.67 is: 2,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.96 : 9,998.07 = 1,734.67 : x
  2. Step 2: Convert to fraction form
    6,664.96/9,998.07 = 1,734.67/x
  3. Step 3: Cross multiply
    6,664.96x = 9,998.07 × 1,734.67
  4. Step 4: Simplify right side
    6,664.96x = 17,343,352.09
  5. Step 5: Solve for x
    x = 17,343,352.09/6,664.96
  6. Step 6: Final answer
    x = 2,602.17

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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.