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Finding the Fourth Proportional to 7,308.54, 10,953.09 and 4,189.50

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Solution

The fourth proportional to 7,308.54, 10,953.09 and 4,189.50 is: 6,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.54 : 10,953.09 = 4,189.50 : x
  2. Step 2: Convert to fraction form
    7,308.54/10,953.09 = 4,189.50/x
  3. Step 3: Cross multiply
    7,308.54x = 10,953.09 × 4,189.50
  4. Step 4: Simplify right side
    7,308.54x = 45,887,970.56
  5. Step 5: Solve for x
    x = 45,887,970.56/7,308.54
  6. Step 6: Final answer
    x = 6,278.68

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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.