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Finding the Fourth Proportional to 6,948, 10,416.36 and 4,023

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Solution

The fourth proportional to 6,948, 10,416.36 and 4,023 is: 6,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 10,416.36 = 4,023 : x
  2. Step 2: Convert to fraction form
    6,948/10,416.36 = 4,023/x
  3. Step 3: Cross multiply
    6,948x = 10,416.36 × 4,023
  4. Step 4: Simplify right side
    6,948x = 41,905,016.28
  5. Step 5: Solve for x
    x = 41,905,016.28/6,948
  6. Step 6: Final answer
    x = 6,031.23

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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.