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Finding the Fourth Proportional to 6,828.18, 9,424.10 and 6,516.54

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Solution

The fourth proportional to 6,828.18, 9,424.10 and 6,516.54 is: 8,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.18 : 9,424.10 = 6,516.54 : x
  2. Step 2: Convert to fraction form
    6,828.18/9,424.10 = 6,516.54/x
  3. Step 3: Cross multiply
    6,828.18x = 9,424.10 × 6,516.54
  4. Step 4: Simplify right side
    6,828.18x = 61,412,492.03
  5. Step 5: Solve for x
    x = 61,412,492.03/6,828.18
  6. Step 6: Final answer
    x = 8,993.98

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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.