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Finding the Fourth Proportional to 14,573.84, 21,846.89 and 9,294.03

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Solution

The fourth proportional to 14,573.84, 21,846.89 and 9,294.03 is: 13,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.84 : 21,846.89 = 9,294.03 : x
  2. Step 2: Convert to fraction form
    14,573.84/21,846.89 = 9,294.03/x
  3. Step 3: Cross multiply
    14,573.84x = 21,846.89 × 9,294.03
  4. Step 4: Simplify right side
    14,573.84x = 203,045,674.30
  5. Step 5: Solve for x
    x = 203,045,674.30/14,573.84
  6. Step 6: Final answer
    x = 13,932.20

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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.