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Finding the Fourth Proportional to 5,604.67, 8,407.15 and 1,709.06

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Solution

The fourth proportional to 5,604.67, 8,407.15 and 1,709.06 is: 2,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.67 : 8,407.15 = 1,709.06 : x
  2. Step 2: Convert to fraction form
    5,604.67/8,407.15 = 1,709.06/x
  3. Step 3: Cross multiply
    5,604.67x = 8,407.15 × 1,709.06
  4. Step 4: Simplify right side
    5,604.67x = 14,368,340.52
  5. Step 5: Solve for x
    x = 14,368,340.52/5,604.67
  6. Step 6: Final answer
    x = 2,563.64

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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.