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Finding the Fourth Proportional to 6,907.68, 10,359.84 and 3,444.12

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Solution

The fourth proportional to 6,907.68, 10,359.84 and 3,444.12 is: 5,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.68 : 10,359.84 = 3,444.12 : x
  2. Step 2: Convert to fraction form
    6,907.68/10,359.84 = 3,444.12/x
  3. Step 3: Cross multiply
    6,907.68x = 10,359.84 × 3,444.12
  4. Step 4: Simplify right side
    6,907.68x = 35,680,532.14
  5. Step 5: Solve for x
    x = 35,680,532.14/6,907.68
  6. Step 6: Final answer
    x = 5,165.34

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1.5x scale

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.