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Finding the Fourth Proportional to 34,407.52, 51,619.90 and 9,783.52

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Solution

The fourth proportional to 34,407.52, 51,619.90 and 9,783.52 is: 14,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.52 : 51,619.90 = 9,783.52 : x
  2. Step 2: Convert to fraction form
    34,407.52/51,619.90 = 9,783.52/x
  3. Step 3: Cross multiply
    34,407.52x = 51,619.90 × 9,783.52
  4. Step 4: Simplify right side
    34,407.52x = 505,024,324.05
  5. Step 5: Solve for x
    x = 505,024,324.05/34,407.52
  6. Step 6: Final answer
    x = 14,677.73

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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.