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Finding the Fourth Proportional to 7,796.40, 10,762.11 and 4,813.44

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Solution

The fourth proportional to 7,796.40, 10,762.11 and 4,813.44 is: 6,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.40 : 10,762.11 = 4,813.44 : x
  2. Step 2: Convert to fraction form
    7,796.40/10,762.11 = 4,813.44/x
  3. Step 3: Cross multiply
    7,796.40x = 10,762.11 × 4,813.44
  4. Step 4: Simplify right side
    7,796.40x = 51,802,770.76
  5. Step 5: Solve for x
    x = 51,802,770.76/7,796.40
  6. Step 6: Final answer
    x = 6,644.45

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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.