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Finding the Fourth Proportional to 17,664.92, 26,497.68 and 7,802.06

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Solution

The fourth proportional to 17,664.92, 26,497.68 and 7,802.06 is: 11,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.92 : 26,497.68 = 7,802.06 : x
  2. Step 2: Convert to fraction form
    17,664.92/26,497.68 = 7,802.06/x
  3. Step 3: Cross multiply
    17,664.92x = 26,497.68 × 7,802.06
  4. Step 4: Simplify right side
    17,664.92x = 206,736,489.22
  5. Step 5: Solve for x
    x = 206,736,489.22/17,664.92
  6. Step 6: Final answer
    x = 11,703.22

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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.