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Finding the Fourth Proportional to 12,683.80, 19,025.70 and 5,285.80

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Solution

The fourth proportional to 12,683.80, 19,025.70 and 5,285.80 is: 7,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.80 : 19,025.70 = 5,285.80 : x
  2. Step 2: Convert to fraction form
    12,683.80/19,025.70 = 5,285.80/x
  3. Step 3: Cross multiply
    12,683.80x = 19,025.70 × 5,285.80
  4. Step 4: Simplify right side
    12,683.80x = 100,566,045.06
  5. Step 5: Solve for x
    x = 100,566,045.06/12,683.80
  6. Step 6: Final answer
    x = 7,928.70

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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.