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Finding the Fourth Proportional to 4,729.84, 6,523.86 and 4,099.26

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Solution

The fourth proportional to 4,729.84, 6,523.86 and 4,099.26 is: 5,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.84 : 6,523.86 = 4,099.26 : x
  2. Step 2: Convert to fraction form
    4,729.84/6,523.86 = 4,099.26/x
  3. Step 3: Cross multiply
    4,729.84x = 6,523.86 × 4,099.26
  4. Step 4: Simplify right side
    4,729.84x = 26,742,998.34
  5. Step 5: Solve for x
    x = 26,742,998.34/4,729.84
  6. Step 6: Final answer
    x = 5,654.10

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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.