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Finding the Fourth Proportional to 6,364.04, 9,544.96 and 1,684.10

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Solution

The fourth proportional to 6,364.04, 9,544.96 and 1,684.10 is: 2,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.04 : 9,544.96 = 1,684.10 : x
  2. Step 2: Convert to fraction form
    6,364.04/9,544.96 = 1,684.10/x
  3. Step 3: Cross multiply
    6,364.04x = 9,544.96 × 1,684.10
  4. Step 4: Simplify right side
    6,364.04x = 16,074,667.14
  5. Step 5: Solve for x
    x = 16,074,667.14/6,364.04
  6. Step 6: Final answer
    x = 2,525.86

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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.