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Finding the Fourth Proportional to 4,468.68, 6,703.02 and 1,182.06

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Solution

The fourth proportional to 4,468.68, 6,703.02 and 1,182.06 is: 1,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.68 : 6,703.02 = 1,182.06 : x
  2. Step 2: Convert to fraction form
    4,468.68/6,703.02 = 1,182.06/x
  3. Step 3: Cross multiply
    4,468.68x = 6,703.02 × 1,182.06
  4. Step 4: Simplify right side
    4,468.68x = 7,923,371.82
  5. Step 5: Solve for x
    x = 7,923,371.82/4,468.68
  6. Step 6: Final answer
    x = 1,773.09

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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.