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Finding the Fourth Proportional to 11,576.86, 15,976.35 and 7,098.01

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Solution

The fourth proportional to 11,576.86, 15,976.35 and 7,098.01 is: 9,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.86 : 15,976.35 = 7,098.01 : x
  2. Step 2: Convert to fraction form
    11,576.86/15,976.35 = 7,098.01/x
  3. Step 3: Cross multiply
    11,576.86x = 15,976.35 × 7,098.01
  4. Step 4: Simplify right side
    11,576.86x = 113,400,252.12
  5. Step 5: Solve for x
    x = 113,400,252.12/11,576.86
  6. Step 6: Final answer
    x = 9,795.43

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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.