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Finding the Fourth Proportional to 17,795.84, 24,558.05 and 9,838.22

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Solution

The fourth proportional to 17,795.84, 24,558.05 and 9,838.22 is: 13,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.84 : 24,558.05 = 9,838.22 : x
  2. Step 2: Convert to fraction form
    17,795.84/24,558.05 = 9,838.22/x
  3. Step 3: Cross multiply
    17,795.84x = 24,558.05 × 9,838.22
  4. Step 4: Simplify right side
    17,795.84x = 241,607,400.48
  5. Step 5: Solve for x
    x = 241,607,400.48/17,795.84
  6. Step 6: Final answer
    x = 13,576.63

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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.