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Finding the Fourth Proportional to 6,655.36, 9,984.88 and 2,907.46

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Solution

The fourth proportional to 6,655.36, 9,984.88 and 2,907.46 is: 4,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.36 : 9,984.88 = 2,907.46 : x
  2. Step 2: Convert to fraction form
    6,655.36/9,984.88 = 2,907.46/x
  3. Step 3: Cross multiply
    6,655.36x = 9,984.88 × 2,907.46
  4. Step 4: Simplify right side
    6,655.36x = 29,030,639.20
  5. Step 5: Solve for x
    x = 29,030,639.20/6,655.36
  6. Step 6: Final answer
    x = 4,361.99

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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.