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Finding the Fourth Proportional to 6,567.51, 9,063.26 and 3,916.46

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Solution

The fourth proportional to 6,567.51, 9,063.26 and 3,916.46 is: 5,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.51 : 9,063.26 = 3,916.46 : x
  2. Step 2: Convert to fraction form
    6,567.51/9,063.26 = 3,916.46/x
  3. Step 3: Cross multiply
    6,567.51x = 9,063.26 × 3,916.46
  4. Step 4: Simplify right side
    6,567.51x = 35,495,830.36
  5. Step 5: Solve for x
    x = 35,495,830.36/6,567.51
  6. Step 6: Final answer
    x = 5,404.76

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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.