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Finding the Fourth Proportional to 12,283.60, 18,425.40 and 5,722.60

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Solution

The fourth proportional to 12,283.60, 18,425.40 and 5,722.60 is: 8,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.60 : 18,425.40 = 5,722.60 : x
  2. Step 2: Convert to fraction form
    12,283.60/18,425.40 = 5,722.60/x
  3. Step 3: Cross multiply
    12,283.60x = 18,425.40 × 5,722.60
  4. Step 4: Simplify right side
    12,283.60x = 105,441,194.04
  5. Step 5: Solve for x
    x = 105,441,194.04/12,283.60
  6. Step 6: Final answer
    x = 8,583.90

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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.