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Finding the Fourth Proportional to 9,994.71, 13,804.97 and 7,488.03

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Solution

The fourth proportional to 9,994.71, 13,804.97 and 7,488.03 is: 10,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.71 : 13,804.97 = 7,488.03 : x
  2. Step 2: Convert to fraction form
    9,994.71/13,804.97 = 7,488.03/x
  3. Step 3: Cross multiply
    9,994.71x = 13,804.97 × 7,488.03
  4. Step 4: Simplify right side
    9,994.71x = 103,371,992.07
  5. Step 5: Solve for x
    x = 103,371,992.07/9,994.71
  6. Step 6: Final answer
    x = 10,342.67

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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.