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Finding the Fourth Proportional to 28,609.31, 42,913.97 and 7,832.81

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Solution

The fourth proportional to 28,609.31, 42,913.97 and 7,832.81 is: 11,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,609.31 : 42,913.97 = 7,832.81 : x
  2. Step 2: Convert to fraction form
    28,609.31/42,913.97 = 7,832.81/x
  3. Step 3: Cross multiply
    28,609.31x = 42,913.97 × 7,832.81
  4. Step 4: Simplify right side
    28,609.31x = 336,136,973.36
  5. Step 5: Solve for x
    x = 336,136,973.36/28,609.31
  6. Step 6: Final answer
    x = 11,749.22

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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.