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Finding the Fourth Proportional to 7,808.54, 11,706.64 and 2,875.48

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Solution

The fourth proportional to 7,808.54, 11,706.64 and 2,875.48 is: 4,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.54 : 11,706.64 = 2,875.48 : x
  2. Step 2: Convert to fraction form
    7,808.54/11,706.64 = 2,875.48/x
  3. Step 3: Cross multiply
    7,808.54x = 11,706.64 × 2,875.48
  4. Step 4: Simplify right side
    7,808.54x = 33,662,172.73
  5. Step 5: Solve for x
    x = 33,662,172.73/7,808.54
  6. Step 6: Final answer
    x = 4,310.95

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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.