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Finding the Fourth Proportional to 8,342.40, 12,513.60 and 8,284.80

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Solution

The fourth proportional to 8,342.40, 12,513.60 and 8,284.80 is: 12,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.40 : 12,513.60 = 8,284.80 : x
  2. Step 2: Convert to fraction form
    8,342.40/12,513.60 = 8,284.80/x
  3. Step 3: Cross multiply
    8,342.40x = 12,513.60 × 8,284.80
  4. Step 4: Simplify right side
    8,342.40x = 103,672,673.28
  5. Step 5: Solve for x
    x = 103,672,673.28/8,342.40
  6. Step 6: Final answer
    x = 12,427.20

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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.