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Finding the Fourth Proportional to 11,576.53, 15,982.05 and 7,328.28

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Solution

The fourth proportional to 11,576.53, 15,982.05 and 7,328.28 is: 10,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.53 : 15,982.05 = 7,328.28 : x
  2. Step 2: Convert to fraction form
    11,576.53/15,982.05 = 7,328.28/x
  3. Step 3: Cross multiply
    11,576.53x = 15,982.05 × 7,328.28
  4. Step 4: Simplify right side
    11,576.53x = 117,120,937.37
  5. Step 5: Solve for x
    x = 117,120,937.37/11,576.53
  6. Step 6: Final answer
    x = 10,117.10

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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.