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Finding the Fourth Proportional to 7,209.56, 9,940.24 and 6,016.30

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Solution

The fourth proportional to 7,209.56, 9,940.24 and 6,016.30 is: 8,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.56 : 9,940.24 = 6,016.30 : x
  2. Step 2: Convert to fraction form
    7,209.56/9,940.24 = 6,016.30/x
  3. Step 3: Cross multiply
    7,209.56x = 9,940.24 × 6,016.30
  4. Step 4: Simplify right side
    7,209.56x = 59,803,465.91
  5. Step 5: Solve for x
    x = 59,803,465.91/7,209.56
  6. Step 6: Final answer
    x = 8,295.02

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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.