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Finding the Fourth Proportional to 11,857.54, 17,788.35 and 5,283.58

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Solution

The fourth proportional to 11,857.54, 17,788.35 and 5,283.58 is: 7,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.54 : 17,788.35 = 5,283.58 : x
  2. Step 2: Convert to fraction form
    11,857.54/17,788.35 = 5,283.58/x
  3. Step 3: Cross multiply
    11,857.54x = 17,788.35 × 5,283.58
  4. Step 4: Simplify right side
    11,857.54x = 93,986,170.29
  5. Step 5: Solve for x
    x = 93,986,170.29/11,857.54
  6. Step 6: Final answer
    x = 7,926.28

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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.