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Finding the Fourth Proportional to 6,316.00, 9,473.97 and 4,930.50

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Solution

The fourth proportional to 6,316.00, 9,473.97 and 4,930.50 is: 7,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.00 : 9,473.97 = 4,930.50 : x
  2. Step 2: Convert to fraction form
    6,316.00/9,473.97 = 4,930.50/x
  3. Step 3: Cross multiply
    6,316.00x = 9,473.97 × 4,930.50
  4. Step 4: Simplify right side
    6,316.00x = 46,711,409.09
  5. Step 5: Solve for x
    x = 46,711,409.09/6,316.00
  6. Step 6: Final answer
    x = 7,395.73

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1.5x scale

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.