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Finding the Fourth Proportional to 9,296.37, 13,926.04 and 6,802.81

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Solution

The fourth proportional to 9,296.37, 13,926.04 and 6,802.81 is: 10,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.37 : 13,926.04 = 6,802.81 : x
  2. Step 2: Convert to fraction form
    9,296.37/13,926.04 = 6,802.81/x
  3. Step 3: Cross multiply
    9,296.37x = 13,926.04 × 6,802.81
  4. Step 4: Simplify right side
    9,296.37x = 94,736,204.17
  5. Step 5: Solve for x
    x = 94,736,204.17/9,296.37
  6. Step 6: Final answer
    x = 10,190.67

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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.