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Finding the Fourth Proportional to 5,674.74, 8,513.47 and 1,779.14

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Solution

The fourth proportional to 5,674.74, 8,513.47 and 1,779.14 is: 2,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.74 : 8,513.47 = 1,779.14 : x
  2. Step 2: Convert to fraction form
    5,674.74/8,513.47 = 1,779.14/x
  3. Step 3: Cross multiply
    5,674.74x = 8,513.47 × 1,779.14
  4. Step 4: Simplify right side
    5,674.74x = 15,146,671.85
  5. Step 5: Solve for x
    x = 15,146,671.85/5,674.74
  6. Step 6: Final answer
    x = 2,669.14

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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.