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Finding the Fourth Proportional to 16,448.61, 24,683.04 and 7,684.41

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Solution

The fourth proportional to 16,448.61, 24,683.04 and 7,684.41 is: 11,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.61 : 24,683.04 = 7,684.41 : x
  2. Step 2: Convert to fraction form
    16,448.61/24,683.04 = 7,684.41/x
  3. Step 3: Cross multiply
    16,448.61x = 24,683.04 × 7,684.41
  4. Step 4: Simplify right side
    16,448.61x = 189,674,599.41
  5. Step 5: Solve for x
    x = 189,674,599.41/16,448.61
  6. Step 6: Final answer
    x = 11,531.35

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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.