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Finding the Fourth Proportional to 19,683.53, 29,529.50 and 7,203.50

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Solution

The fourth proportional to 19,683.53, 29,529.50 and 7,203.50 is: 10,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.53 : 29,529.50 = 7,203.50 : x
  2. Step 2: Convert to fraction form
    19,683.53/29,529.50 = 7,203.50/x
  3. Step 3: Cross multiply
    19,683.53x = 29,529.50 × 7,203.50
  4. Step 4: Simplify right side
    19,683.53x = 212,715,569.59
  5. Step 5: Solve for x
    x = 212,715,569.59/19,683.53
  6. Step 6: Final answer
    x = 10,806.78

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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.