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Finding the Fourth Proportional to 16,537.60, 24,825.60 and 9,971.20

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Solution

The fourth proportional to 16,537.60, 24,825.60 and 9,971.20 is: 14,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.60 : 24,825.60 = 9,971.20 : x
  2. Step 2: Convert to fraction form
    16,537.60/24,825.60 = 9,971.20/x
  3. Step 3: Cross multiply
    16,537.60x = 24,825.60 × 9,971.20
  4. Step 4: Simplify right side
    16,537.60x = 247,541,022.72
  5. Step 5: Solve for x
    x = 247,541,022.72/16,537.60
  6. Step 6: Final answer
    x = 14,968.38

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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.