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Finding the Fourth Proportional to 14,062.94, 19,406.84 and 7,775.31

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Solution

The fourth proportional to 14,062.94, 19,406.84 and 7,775.31 is: 10,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.94 : 19,406.84 = 7,775.31 : x
  2. Step 2: Convert to fraction form
    14,062.94/19,406.84 = 7,775.31/x
  3. Step 3: Cross multiply
    14,062.94x = 19,406.84 × 7,775.31
  4. Step 4: Simplify right side
    14,062.94x = 150,894,231.02
  5. Step 5: Solve for x
    x = 150,894,231.02/14,062.94
  6. Step 6: Final answer
    x = 10,729.92

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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.