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Finding the Fourth Proportional to 4,611.81, 6,916.70 and 1,324.17

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Solution

The fourth proportional to 4,611.81, 6,916.70 and 1,324.17 is: 1,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.81 : 6,916.70 = 1,324.17 : x
  2. Step 2: Convert to fraction form
    4,611.81/6,916.70 = 1,324.17/x
  3. Step 3: Cross multiply
    4,611.81x = 6,916.70 × 1,324.17
  4. Step 4: Simplify right side
    4,611.81x = 9,158,880.02
  5. Step 5: Solve for x
    x = 9,158,880.02/4,611.81
  6. Step 6: Final answer
    x = 1,985.96

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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.