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Finding the Fourth Proportional to 7,903.62, 10,905.81 and 4,546.58

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Solution

The fourth proportional to 7,903.62, 10,905.81 and 4,546.58 is: 6,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.62 : 10,905.81 = 4,546.58 : x
  2. Step 2: Convert to fraction form
    7,903.62/10,905.81 = 4,546.58/x
  3. Step 3: Cross multiply
    7,903.62x = 10,905.81 × 4,546.58
  4. Step 4: Simplify right side
    7,903.62x = 49,584,083.10
  5. Step 5: Solve for x
    x = 49,584,083.10/7,903.62
  6. Step 6: Final answer
    x = 6,273.59

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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.