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Finding the Fourth Proportional to 5,824.70, 8,737.70 and 1,929.11

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Solution

The fourth proportional to 5,824.70, 8,737.70 and 1,929.11 is: 2,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.70 : 8,737.70 = 1,929.11 : x
  2. Step 2: Convert to fraction form
    5,824.70/8,737.70 = 1,929.11/x
  3. Step 3: Cross multiply
    5,824.70x = 8,737.70 × 1,929.11
  4. Step 4: Simplify right side
    5,824.70x = 16,855,931.11
  5. Step 5: Solve for x
    x = 16,855,931.11/5,824.70
  6. Step 6: Final answer
    x = 2,893.87

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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.