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Finding the Fourth Proportional to 8,283.54, 12,414.93 and 4,954.25

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Solution

The fourth proportional to 8,283.54, 12,414.93 and 4,954.25 is: 7,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.54 : 12,414.93 = 4,954.25 : x
  2. Step 2: Convert to fraction form
    8,283.54/12,414.93 = 4,954.25/x
  3. Step 3: Cross multiply
    8,283.54x = 12,414.93 × 4,954.25
  4. Step 4: Simplify right side
    8,283.54x = 61,506,679.41
  5. Step 5: Solve for x
    x = 61,506,679.41/8,283.54
  6. Step 6: Final answer
    x = 7,425.17

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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.