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Finding the Fourth Proportional to 9,548.63, 14,323.22 and 2,623.13

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Solution

The fourth proportional to 9,548.63, 14,323.22 and 2,623.13 is: 3,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.63 : 14,323.22 = 2,623.13 : x
  2. Step 2: Convert to fraction form
    9,548.63/14,323.22 = 2,623.13/x
  3. Step 3: Cross multiply
    9,548.63x = 14,323.22 × 2,623.13
  4. Step 4: Simplify right side
    9,548.63x = 37,571,583.35
  5. Step 5: Solve for x
    x = 37,571,583.35/9,548.63
  6. Step 6: Final answer
    x = 3,934.76

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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.