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Finding the Fourth Proportional to 4,697.38, 6,484.22 and 2,709.64

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Solution

The fourth proportional to 4,697.38, 6,484.22 and 2,709.64 is: 3,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.38 : 6,484.22 = 2,709.64 : x
  2. Step 2: Convert to fraction form
    4,697.38/6,484.22 = 2,709.64/x
  3. Step 3: Cross multiply
    4,697.38x = 6,484.22 × 2,709.64
  4. Step 4: Simplify right side
    4,697.38x = 17,569,901.88
  5. Step 5: Solve for x
    x = 17,569,901.88/4,697.38
  6. Step 6: Final answer
    x = 3,740.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.