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Finding the Fourth Proportional to 10,392.32, 14,330.49 and 6,851

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Solution

The fourth proportional to 10,392.32, 14,330.49 and 6,851 is: 9,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.32 : 14,330.49 = 6,851 : x
  2. Step 2: Convert to fraction form
    10,392.32/14,330.49 = 6,851/x
  3. Step 3: Cross multiply
    10,392.32x = 14,330.49 × 6,851
  4. Step 4: Simplify right side
    10,392.32x = 98,178,186.99
  5. Step 5: Solve for x
    x = 98,178,186.99/10,392.32
  6. Step 6: Final answer
    x = 9,447.19

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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.