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Finding the Fourth Proportional to 16,452.97, 24,683.07 and 7,683.10

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Solution

The fourth proportional to 16,452.97, 24,683.07 and 7,683.10 is: 11,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.97 : 24,683.07 = 7,683.10 : x
  2. Step 2: Convert to fraction form
    16,452.97/24,683.07 = 7,683.10/x
  3. Step 3: Cross multiply
    16,452.97x = 24,683.07 × 7,683.10
  4. Step 4: Simplify right side
    16,452.97x = 189,642,495.12
  5. Step 5: Solve for x
    x = 189,642,495.12/16,452.97
  6. Step 6: Final answer
    x = 11,526.34

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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.