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Finding the Fourth Proportional to 8,302.40, 12,460.40 and 8,237.60

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Solution

The fourth proportional to 8,302.40, 12,460.40 and 8,237.60 is: 12,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.40 : 12,460.40 = 8,237.60 : x
  2. Step 2: Convert to fraction form
    8,302.40/12,460.40 = 8,237.60/x
  3. Step 3: Cross multiply
    8,302.40x = 12,460.40 × 8,237.60
  4. Step 4: Simplify right side
    8,302.40x = 102,643,791.04
  5. Step 5: Solve for x
    x = 102,643,791.04/8,302.40
  6. Step 6: Final answer
    x = 12,363.15

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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.