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Finding the Fourth Proportional to 12,343.50, 17,034.94 and 7,038.44

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Solution

The fourth proportional to 12,343.50, 17,034.94 and 7,038.44 is: 9,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.50 : 17,034.94 = 7,038.44 : x
  2. Step 2: Convert to fraction form
    12,343.50/17,034.94 = 7,038.44/x
  3. Step 3: Cross multiply
    12,343.50x = 17,034.94 × 7,038.44
  4. Step 4: Simplify right side
    12,343.50x = 119,899,403.09
  5. Step 5: Solve for x
    x = 119,899,403.09/12,343.50
  6. Step 6: Final answer
    x = 9,713.57

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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.