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Finding the Fourth Proportional to 4,609.26, 6,916.32 and 2,009.16

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Solution

The fourth proportional to 4,609.26, 6,916.32 and 2,009.16 is: 3,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.26 : 6,916.32 = 2,009.16 : x
  2. Step 2: Convert to fraction form
    4,609.26/6,916.32 = 2,009.16/x
  3. Step 3: Cross multiply
    4,609.26x = 6,916.32 × 2,009.16
  4. Step 4: Simplify right side
    4,609.26x = 13,895,993.49
  5. Step 5: Solve for x
    x = 13,895,993.49/4,609.26
  6. Step 6: Final answer
    x = 3,014.80

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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.