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Finding the Fourth Proportional to 8,485.16, 11,706.54 and 4,947.62

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Solution

The fourth proportional to 8,485.16, 11,706.54 and 4,947.62 is: 6,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.16 : 11,706.54 = 4,947.62 : x
  2. Step 2: Convert to fraction form
    8,485.16/11,706.54 = 4,947.62/x
  3. Step 3: Cross multiply
    8,485.16x = 11,706.54 × 4,947.62
  4. Step 4: Simplify right side
    8,485.16x = 57,919,511.43
  5. Step 5: Solve for x
    x = 57,919,511.43/8,485.16
  6. Step 6: Final answer
    x = 6,825.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.