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Finding the Fourth Proportional to 9,124.80, 13,676.40 and 6,813.60

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Solution

The fourth proportional to 9,124.80, 13,676.40 and 6,813.60 is: 10,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.80 : 13,676.40 = 6,813.60 : x
  2. Step 2: Convert to fraction form
    9,124.80/13,676.40 = 6,813.60/x
  3. Step 3: Cross multiply
    9,124.80x = 13,676.40 × 6,813.60
  4. Step 4: Simplify right side
    9,124.80x = 93,185,519.04
  5. Step 5: Solve for x
    x = 93,185,519.04/9,124.80
  6. Step 6: Final answer
    x = 10,212.34

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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.