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Finding the Fourth Proportional to 4,832.40, 6,669 and 2,736.40

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Solution

The fourth proportional to 4,832.40, 6,669 and 2,736.40 is: 3,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.40 : 6,669 = 2,736.40 : x
  2. Step 2: Convert to fraction form
    4,832.40/6,669 = 2,736.40/x
  3. Step 3: Cross multiply
    4,832.40x = 6,669 × 2,736.40
  4. Step 4: Simplify right side
    4,832.40x = 18,249,051.60
  5. Step 5: Solve for x
    x = 18,249,051.60/4,832.40
  6. Step 6: Final answer
    x = 3,776.40

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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.