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Finding the Fourth Proportional to 8,496.47, 12,744.70 and 2,653.58

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Solution

The fourth proportional to 8,496.47, 12,744.70 and 2,653.58 is: 3,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.47 : 12,744.70 = 2,653.58 : x
  2. Step 2: Convert to fraction form
    8,496.47/12,744.70 = 2,653.58/x
  3. Step 3: Cross multiply
    8,496.47x = 12,744.70 × 2,653.58
  4. Step 4: Simplify right side
    8,496.47x = 33,819,081.03
  5. Step 5: Solve for x
    x = 33,819,081.03/8,496.47
  6. Step 6: Final answer
    x = 3,980.37

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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.