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Finding the Fourth Proportional to 7,047.09, 10,559.09 and 4,274.66

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Solution

The fourth proportional to 7,047.09, 10,559.09 and 4,274.66 is: 6,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.09 : 10,559.09 = 4,274.66 : x
  2. Step 2: Convert to fraction form
    7,047.09/10,559.09 = 4,274.66/x
  3. Step 3: Cross multiply
    7,047.09x = 10,559.09 × 4,274.66
  4. Step 4: Simplify right side
    7,047.09x = 45,136,445.49
  5. Step 5: Solve for x
    x = 45,136,445.49/7,047.09
  6. Step 6: Final answer
    x = 6,404.98

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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.