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Finding the Fourth Proportional to 4,576, 6,317.04 and 4,411.84

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Solution

The fourth proportional to 4,576, 6,317.04 and 4,411.84 is: 6,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 6,317.04 = 4,411.84 : x
  2. Step 2: Convert to fraction form
    4,576/6,317.04 = 4,411.84/x
  3. Step 3: Cross multiply
    4,576x = 6,317.04 × 4,411.84
  4. Step 4: Simplify right side
    4,576x = 27,869,769.75
  5. Step 5: Solve for x
    x = 27,869,769.75/4,576
  6. Step 6: Final answer
    x = 6,090.42

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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.