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Finding the Fourth Proportional to 9,994.68, 14,991.93 and 7,805.16

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Solution

The fourth proportional to 9,994.68, 14,991.93 and 7,805.16 is: 11,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.68 : 14,991.93 = 7,805.16 : x
  2. Step 2: Convert to fraction form
    9,994.68/14,991.93 = 7,805.16/x
  3. Step 3: Cross multiply
    9,994.68x = 14,991.93 × 7,805.16
  4. Step 4: Simplify right side
    9,994.68x = 117,014,412.36
  5. Step 5: Solve for x
    x = 117,014,412.36/9,994.68
  6. Step 6: Final answer
    x = 11,707.67

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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.