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Finding the Fourth Proportional to 10,576.36, 15,854.82 and 3,646

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Solution

The fourth proportional to 10,576.36, 15,854.82 and 3,646 is: 5,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.36 : 15,854.82 = 3,646 : x
  2. Step 2: Convert to fraction form
    10,576.36/15,854.82 = 3,646/x
  3. Step 3: Cross multiply
    10,576.36x = 15,854.82 × 3,646
  4. Step 4: Simplify right side
    10,576.36x = 57,806,673.72
  5. Step 5: Solve for x
    x = 57,806,673.72/10,576.36
  6. Step 6: Final answer
    x = 5,465.65

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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.