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Finding the Fourth Proportional to 10,433.04, 14,394 and 5,953.56

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Solution

The fourth proportional to 10,433.04, 14,394 and 5,953.56 is: 8,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.04 : 14,394 = 5,953.56 : x
  2. Step 2: Convert to fraction form
    10,433.04/14,394 = 5,953.56/x
  3. Step 3: Cross multiply
    10,433.04x = 14,394 × 5,953.56
  4. Step 4: Simplify right side
    10,433.04x = 85,695,542.64
  5. Step 5: Solve for x
    x = 85,695,542.64/10,433.04
  6. Step 6: Final answer
    x = 8,213.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.