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Finding the Fourth Proportional to 12,307.44, 18,461.46 and 4,410.50

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Solution

The fourth proportional to 12,307.44, 18,461.46 and 4,410.50 is: 6,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.44 : 18,461.46 = 4,410.50 : x
  2. Step 2: Convert to fraction form
    12,307.44/18,461.46 = 4,410.50/x
  3. Step 3: Cross multiply
    12,307.44x = 18,461.46 × 4,410.50
  4. Step 4: Simplify right side
    12,307.44x = 81,424,269.33
  5. Step 5: Solve for x
    x = 81,424,269.33/12,307.44
  6. Step 6: Final answer
    x = 6,615.86

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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.