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Finding the Fourth Proportional to 5,609.36, 8,409.99 and 1,711.64

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Solution

The fourth proportional to 5,609.36, 8,409.99 and 1,711.64 is: 2,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.36 : 8,409.99 = 1,711.64 : x
  2. Step 2: Convert to fraction form
    5,609.36/8,409.99 = 1,711.64/x
  3. Step 3: Cross multiply
    5,609.36x = 8,409.99 × 1,711.64
  4. Step 4: Simplify right side
    5,609.36x = 14,394,875.28
  5. Step 5: Solve for x
    x = 14,394,875.28/5,609.36
  6. Step 6: Final answer
    x = 2,566.22

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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.