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Finding the Fourth Proportional to 4,636.53, 6,398.29 and 2,646.70

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Solution

The fourth proportional to 4,636.53, 6,398.29 and 2,646.70 is: 3,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.53 : 6,398.29 = 2,646.70 : x
  2. Step 2: Convert to fraction form
    4,636.53/6,398.29 = 2,646.70/x
  3. Step 3: Cross multiply
    4,636.53x = 6,398.29 × 2,646.70
  4. Step 4: Simplify right side
    4,636.53x = 16,934,354.14
  5. Step 5: Solve for x
    x = 16,934,354.14/4,636.53
  6. Step 6: Final answer
    x = 3,652.38

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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.