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Finding the Fourth Proportional to 4,775.92, 7,152.78 and 4,644.76

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Solution

The fourth proportional to 4,775.92, 7,152.78 and 4,644.76 is: 6,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.92 : 7,152.78 = 4,644.76 : x
  2. Step 2: Convert to fraction form
    4,775.92/7,152.78 = 4,644.76/x
  3. Step 3: Cross multiply
    4,775.92x = 7,152.78 × 4,644.76
  4. Step 4: Simplify right side
    4,775.92x = 33,222,946.43
  5. Step 5: Solve for x
    x = 33,222,946.43/4,775.92
  6. Step 6: Final answer
    x = 6,956.34

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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.