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Finding the Fourth Proportional to 12,574.92, 17,353.30 and 6,832.33

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Solution

The fourth proportional to 12,574.92, 17,353.30 and 6,832.33 is: 9,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.92 : 17,353.30 = 6,832.33 : x
  2. Step 2: Convert to fraction form
    12,574.92/17,353.30 = 6,832.33/x
  3. Step 3: Cross multiply
    12,574.92x = 17,353.30 × 6,832.33
  4. Step 4: Simplify right side
    12,574.92x = 118,563,428.81
  5. Step 5: Solve for x
    x = 118,563,428.81/12,574.92
  6. Step 6: Final answer
    x = 9,428.56

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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.