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Finding the Fourth Proportional to 9,282.70, 13,883.55 and 8,302.60

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Solution

The fourth proportional to 9,282.70, 13,883.55 and 8,302.60 is: 12,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.70 : 13,883.55 = 8,302.60 : x
  2. Step 2: Convert to fraction form
    9,282.70/13,883.55 = 8,302.60/x
  3. Step 3: Cross multiply
    9,282.70x = 13,883.55 × 8,302.60
  4. Step 4: Simplify right side
    9,282.70x = 115,269,562.23
  5. Step 5: Solve for x
    x = 115,269,562.23/9,282.70
  6. Step 6: Final answer
    x = 12,417.68

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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.