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Finding the Fourth Proportional to 10,606.34, 14,636.92 and 5,761.08

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Solution

The fourth proportional to 10,606.34, 14,636.92 and 5,761.08 is: 7,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.34 : 14,636.92 = 5,761.08 : x
  2. Step 2: Convert to fraction form
    10,606.34/14,636.92 = 5,761.08/x
  3. Step 3: Cross multiply
    10,606.34x = 14,636.92 × 5,761.08
  4. Step 4: Simplify right side
    10,606.34x = 84,324,467.07
  5. Step 5: Solve for x
    x = 84,324,467.07/10,606.34
  6. Step 6: Final answer
    x = 7,950.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.