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Finding the Fourth Proportional to 9,298.95, 13,930.83 and 7,208.70

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Solution

The fourth proportional to 9,298.95, 13,930.83 and 7,208.70 is: 10,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.95 : 13,930.83 = 7,208.70 : x
  2. Step 2: Convert to fraction form
    9,298.95/13,930.83 = 7,208.70/x
  3. Step 3: Cross multiply
    9,298.95x = 13,930.83 × 7,208.70
  4. Step 4: Simplify right side
    9,298.95x = 100,423,174.22
  5. Step 5: Solve for x
    x = 100,423,174.22/9,298.95
  6. Step 6: Final answer
    x = 10,799.41

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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.