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Finding the Fourth Proportional to 6,274.54, 9,409.56 and 1,890.64

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Solution

The fourth proportional to 6,274.54, 9,409.56 and 1,890.64 is: 2,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.54 : 9,409.56 = 1,890.64 : x
  2. Step 2: Convert to fraction form
    6,274.54/9,409.56 = 1,890.64/x
  3. Step 3: Cross multiply
    6,274.54x = 9,409.56 × 1,890.64
  4. Step 4: Simplify right side
    6,274.54x = 17,790,090.52
  5. Step 5: Solve for x
    x = 17,790,090.52/6,274.54
  6. Step 6: Final answer
    x = 2,835.28

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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.