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Finding the Fourth Proportional to 5,191.51, 7,786.14 and 1,492.93

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Solution

The fourth proportional to 5,191.51, 7,786.14 and 1,492.93 is: 2,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.51 : 7,786.14 = 1,492.93 : x
  2. Step 2: Convert to fraction form
    5,191.51/7,786.14 = 1,492.93/x
  3. Step 3: Cross multiply
    5,191.51x = 7,786.14 × 1,492.93
  4. Step 4: Simplify right side
    5,191.51x = 11,624,161.99
  5. Step 5: Solve for x
    x = 11,624,161.99/5,191.51
  6. Step 6: Final answer
    x = 2,239.07

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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.