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Finding the Fourth Proportional to 9,563.52, 14,347.20 and 8,634.24

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Solution

The fourth proportional to 9,563.52, 14,347.20 and 8,634.24 is: 12,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.52 : 14,347.20 = 8,634.24 : x
  2. Step 2: Convert to fraction form
    9,563.52/14,347.20 = 8,634.24/x
  3. Step 3: Cross multiply
    9,563.52x = 14,347.20 × 8,634.24
  4. Step 4: Simplify right side
    9,563.52x = 123,877,168.13
  5. Step 5: Solve for x
    x = 123,877,168.13/9,563.52
  6. Step 6: Final answer
    x = 12,953.09

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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.