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Finding the Fourth Proportional to 4,609.53, 6,913.58 and 1,687.14

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Solution

The fourth proportional to 4,609.53, 6,913.58 and 1,687.14 is: 2,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.53 : 6,913.58 = 1,687.14 : x
  2. Step 2: Convert to fraction form
    4,609.53/6,913.58 = 1,687.14/x
  3. Step 3: Cross multiply
    4,609.53x = 6,913.58 × 1,687.14
  4. Step 4: Simplify right side
    4,609.53x = 11,664,168.93
  5. Step 5: Solve for x
    x = 11,664,168.93/4,609.53
  6. Step 6: Final answer
    x = 2,530.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.