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Finding the Fourth Proportional to 34,409.51, 51,614.15 and 9,449.58

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Solution

The fourth proportional to 34,409.51, 51,614.15 and 9,449.58 is: 14,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.51 : 51,614.15 = 9,449.58 : x
  2. Step 2: Convert to fraction form
    34,409.51/51,614.15 = 9,449.58/x
  3. Step 3: Cross multiply
    34,409.51x = 51,614.15 × 9,449.58
  4. Step 4: Simplify right side
    34,409.51x = 487,731,992.31
  5. Step 5: Solve for x
    x = 487,731,992.31/34,409.51
  6. Step 6: Final answer
    x = 14,174.34

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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.