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Finding the Fourth Proportional to 6,728.50, 9,298.14 and 5,046.99

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Solution

The fourth proportional to 6,728.50, 9,298.14 and 5,046.99 is: 6,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.50 : 9,298.14 = 5,046.99 : x
  2. Step 2: Convert to fraction form
    6,728.50/9,298.14 = 5,046.99/x
  3. Step 3: Cross multiply
    6,728.50x = 9,298.14 × 5,046.99
  4. Step 4: Simplify right side
    6,728.50x = 46,927,646.50
  5. Step 5: Solve for x
    x = 46,927,646.50/6,728.50
  6. Step 6: Final answer
    x = 6,974.46

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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.