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Finding the Fourth Proportional to 5,566.94, 7,683.09 and 3,209.10

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Solution

The fourth proportional to 5,566.94, 7,683.09 and 3,209.10 is: 4,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.94 : 7,683.09 = 3,209.10 : x
  2. Step 2: Convert to fraction form
    5,566.94/7,683.09 = 3,209.10/x
  3. Step 3: Cross multiply
    5,566.94x = 7,683.09 × 3,209.10
  4. Step 4: Simplify right side
    5,566.94x = 24,655,763.27
  5. Step 5: Solve for x
    x = 24,655,763.27/5,566.94
  6. Step 6: Final answer
    x = 4,428.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.