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Finding the Fourth Proportional to 4,609.85, 6,916.16 and 2,146.13

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Solution

The fourth proportional to 4,609.85, 6,916.16 and 2,146.13 is: 3,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.85 : 6,916.16 = 2,146.13 : x
  2. Step 2: Convert to fraction form
    4,609.85/6,916.16 = 2,146.13/x
  3. Step 3: Cross multiply
    4,609.85x = 6,916.16 × 2,146.13
  4. Step 4: Simplify right side
    4,609.85x = 14,842,978.46
  5. Step 5: Solve for x
    x = 14,842,978.46/4,609.85
  6. Step 6: Final answer
    x = 3,219.84

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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.