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Finding the Fourth Proportional to 14,049.75, 19,388.79 and 7,762.53

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Solution

The fourth proportional to 14,049.75, 19,388.79 and 7,762.53 is: 10,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.75 : 19,388.79 = 7,762.53 : x
  2. Step 2: Convert to fraction form
    14,049.75/19,388.79 = 7,762.53/x
  3. Step 3: Cross multiply
    14,049.75x = 19,388.79 × 7,762.53
  4. Step 4: Simplify right side
    14,049.75x = 150,506,064.04
  5. Step 5: Solve for x
    x = 150,506,064.04/14,049.75
  6. Step 6: Final answer
    x = 10,712.37

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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.