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Finding the Fourth Proportional to 4,603.68, 6,905.16 and 1,682.64

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Solution

The fourth proportional to 4,603.68, 6,905.16 and 1,682.64 is: 2,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.68 : 6,905.16 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    4,603.68/6,905.16 = 1,682.64/x
  3. Step 3: Cross multiply
    4,603.68x = 6,905.16 × 1,682.64
  4. Step 4: Simplify right side
    4,603.68x = 11,618,898.42
  5. Step 5: Solve for x
    x = 11,618,898.42/4,603.68
  6. Step 6: Final answer
    x = 2,523.83

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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.