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Finding the Fourth Proportional to 11,384.01, 15,710.02 and 6,348.56

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Solution

The fourth proportional to 11,384.01, 15,710.02 and 6,348.56 is: 8,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.01 : 15,710.02 = 6,348.56 : x
  2. Step 2: Convert to fraction form
    11,384.01/15,710.02 = 6,348.56/x
  3. Step 3: Cross multiply
    11,384.01x = 15,710.02 × 6,348.56
  4. Step 4: Simplify right side
    11,384.01x = 99,735,945.86
  5. Step 5: Solve for x
    x = 99,735,945.86/11,384.01
  6. Step 6: Final answer
    x = 8,761.06

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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.