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Finding the Fourth Proportional to 4,533.47, 6,795.34 and 1,900.31

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Solution

The fourth proportional to 4,533.47, 6,795.34 and 1,900.31 is: 2,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.47 : 6,795.34 = 1,900.31 : x
  2. Step 2: Convert to fraction form
    4,533.47/6,795.34 = 1,900.31/x
  3. Step 3: Cross multiply
    4,533.47x = 6,795.34 × 1,900.31
  4. Step 4: Simplify right side
    4,533.47x = 12,913,262.74
  5. Step 5: Solve for x
    x = 12,913,262.74/4,533.47
  6. Step 6: Final answer
    x = 2,848.43

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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.