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Finding the Fourth Proportional to 8,551.84, 11,802.60 and 5,194.42

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Solution

The fourth proportional to 8,551.84, 11,802.60 and 5,194.42 is: 7,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.84 : 11,802.60 = 5,194.42 : x
  2. Step 2: Convert to fraction form
    8,551.84/11,802.60 = 5,194.42/x
  3. Step 3: Cross multiply
    8,551.84x = 11,802.60 × 5,194.42
  4. Step 4: Simplify right side
    8,551.84x = 61,307,661.49
  5. Step 5: Solve for x
    x = 61,307,661.49/8,551.84
  6. Step 6: Final answer
    x = 7,168.94

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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.