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Finding the Fourth Proportional to 7,649.50, 10,551.82 and 4,812.36

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Solution

The fourth proportional to 7,649.50, 10,551.82 and 4,812.36 is: 6,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.50 : 10,551.82 = 4,812.36 : x
  2. Step 2: Convert to fraction form
    7,649.50/10,551.82 = 4,812.36/x
  3. Step 3: Cross multiply
    7,649.50x = 10,551.82 × 4,812.36
  4. Step 4: Simplify right side
    7,649.50x = 50,779,156.50
  5. Step 5: Solve for x
    x = 50,779,156.50/7,649.50
  6. Step 6: Final answer
    x = 6,638.23

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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.