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Finding the Fourth Proportional to 14,145.65, 19,520.96 and 7,771.22

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Solution

The fourth proportional to 14,145.65, 19,520.96 and 7,771.22 is: 10,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.65 : 19,520.96 = 7,771.22 : x
  2. Step 2: Convert to fraction form
    14,145.65/19,520.96 = 7,771.22/x
  3. Step 3: Cross multiply
    14,145.65x = 19,520.96 × 7,771.22
  4. Step 4: Simplify right side
    14,145.65x = 151,701,674.77
  5. Step 5: Solve for x
    x = 151,701,674.77/14,145.65
  6. Step 6: Final answer
    x = 10,724.26

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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.