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Finding the Fourth Proportional to 12,683.25, 19,024.94 and 4,475.25

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Solution

The fourth proportional to 12,683.25, 19,024.94 and 4,475.25 is: 6,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.25 : 19,024.94 = 4,475.25 : x
  2. Step 2: Convert to fraction form
    12,683.25/19,024.94 = 4,475.25/x
  3. Step 3: Cross multiply
    12,683.25x = 19,024.94 × 4,475.25
  4. Step 4: Simplify right side
    12,683.25x = 85,141,340.36
  5. Step 5: Solve for x
    x = 85,141,340.36/12,683.25
  6. Step 6: Final answer
    x = 6,712.90

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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.