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Finding the Fourth Proportional to 6,314.09, 9,472.64 and 1,931.54

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Solution

The fourth proportional to 6,314.09, 9,472.64 and 1,931.54 is: 2,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.09 : 9,472.64 = 1,931.54 : x
  2. Step 2: Convert to fraction form
    6,314.09/9,472.64 = 1,931.54/x
  3. Step 3: Cross multiply
    6,314.09x = 9,472.64 × 1,931.54
  4. Step 4: Simplify right side
    6,314.09x = 18,296,726.04
  5. Step 5: Solve for x
    x = 18,296,726.04/6,314.09
  6. Step 6: Final answer
    x = 2,897.76

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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.