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Finding the Fourth Proportional to 19,483, 29,211.42 and 9,628.60

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Solution

The fourth proportional to 19,483, 29,211.42 and 9,628.60 is: 14,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483 : 29,211.42 = 9,628.60 : x
  2. Step 2: Convert to fraction form
    19,483/29,211.42 = 9,628.60/x
  3. Step 3: Cross multiply
    19,483x = 29,211.42 × 9,628.60
  4. Step 4: Simplify right side
    19,483x = 281,265,078.61
  5. Step 5: Solve for x
    x = 281,265,078.61/19,483
  6. Step 6: Final answer
    x = 14,436.44

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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.