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Finding the Fourth Proportional to 6,314.22, 9,472.32 and 1,931.31

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Solution

The fourth proportional to 6,314.22, 9,472.32 and 1,931.31 is: 2,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.22 : 9,472.32 = 1,931.31 : x
  2. Step 2: Convert to fraction form
    6,314.22/9,472.32 = 1,931.31/x
  3. Step 3: Cross multiply
    6,314.22x = 9,472.32 × 1,931.31
  4. Step 4: Simplify right side
    6,314.22x = 18,293,986.34
  5. Step 5: Solve for x
    x = 18,293,986.34/6,314.22
  6. Step 6: Final answer
    x = 2,897.27

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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.