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Finding the Fourth Proportional to 17,633.73, 26,457.48 and 7,766.07

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Solution

The fourth proportional to 17,633.73, 26,457.48 and 7,766.07 is: 11,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.73 : 26,457.48 = 7,766.07 : x
  2. Step 2: Convert to fraction form
    17,633.73/26,457.48 = 7,766.07/x
  3. Step 3: Cross multiply
    17,633.73x = 26,457.48 × 7,766.07
  4. Step 4: Simplify right side
    17,633.73x = 205,470,602.87
  5. Step 5: Solve for x
    x = 205,470,602.87/17,633.73
  6. Step 6: Final answer
    x = 11,652.14

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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.