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Finding the Fourth Proportional to 6,683.57, 9,217.01 and 4,985.82

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Solution

The fourth proportional to 6,683.57, 9,217.01 and 4,985.82 is: 6,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.57 : 9,217.01 = 4,985.82 : x
  2. Step 2: Convert to fraction form
    6,683.57/9,217.01 = 4,985.82/x
  3. Step 3: Cross multiply
    6,683.57x = 9,217.01 × 4,985.82
  4. Step 4: Simplify right side
    6,683.57x = 45,954,352.80
  5. Step 5: Solve for x
    x = 45,954,352.80/6,683.57
  6. Step 6: Final answer
    x = 6,875.72

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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.