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Finding the Fourth Proportional to 10,453.14, 14,425.65 and 5,737.74

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Solution

The fourth proportional to 10,453.14, 14,425.65 and 5,737.74 is: 7,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.14 : 14,425.65 = 5,737.74 : x
  2. Step 2: Convert to fraction form
    10,453.14/14,425.65 = 5,737.74/x
  3. Step 3: Cross multiply
    10,453.14x = 14,425.65 × 5,737.74
  4. Step 4: Simplify right side
    10,453.14x = 82,770,629.03
  5. Step 5: Solve for x
    x = 82,770,629.03/10,453.14
  6. Step 6: Final answer
    x = 7,918.26

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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.