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Finding the Fourth Proportional to 12,089.70, 16,683.70 and 6,784.50

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Solution

The fourth proportional to 12,089.70, 16,683.70 and 6,784.50 is: 9,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.70 : 16,683.70 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    12,089.70/16,683.70 = 6,784.50/x
  3. Step 3: Cross multiply
    12,089.70x = 16,683.70 × 6,784.50
  4. Step 4: Simplify right side
    12,089.70x = 113,190,562.65
  5. Step 5: Solve for x
    x = 113,190,562.65/12,089.70
  6. Step 6: Final answer
    x = 9,362.56

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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.