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Finding the Fourth Proportional to 6,948.67, 10,460.23 and 6,234.25

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Solution

The fourth proportional to 6,948.67, 10,460.23 and 6,234.25 is: 9,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.67 : 10,460.23 = 6,234.25 : x
  2. Step 2: Convert to fraction form
    6,948.67/10,460.23 = 6,234.25/x
  3. Step 3: Cross multiply
    6,948.67x = 10,460.23 × 6,234.25
  4. Step 4: Simplify right side
    6,948.67x = 65,211,688.88
  5. Step 5: Solve for x
    x = 65,211,688.88/6,948.67
  6. Step 6: Final answer
    x = 9,384.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.