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Finding the Fourth Proportional to 4,796.08, 7,193.90 and 1,509.10

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Solution

The fourth proportional to 4,796.08, 7,193.90 and 1,509.10 is: 2,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.08 : 7,193.90 = 1,509.10 : x
  2. Step 2: Convert to fraction form
    4,796.08/7,193.90 = 1,509.10/x
  3. Step 3: Cross multiply
    4,796.08x = 7,193.90 × 1,509.10
  4. Step 4: Simplify right side
    4,796.08x = 10,856,314.49
  5. Step 5: Solve for x
    x = 10,856,314.49/4,796.08
  6. Step 6: Final answer
    x = 2,263.58

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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.