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Finding the Fourth Proportional to 12,777.84, 19,253.64 and 10,634.52

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Solution

The fourth proportional to 12,777.84, 19,253.64 and 10,634.52 is: 16,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.84 : 19,253.64 = 10,634.52 : x
  2. Step 2: Convert to fraction form
    12,777.84/19,253.64 = 10,634.52/x
  3. Step 3: Cross multiply
    12,777.84x = 19,253.64 × 10,634.52
  4. Step 4: Simplify right side
    12,777.84x = 204,753,219.65
  5. Step 5: Solve for x
    x = 204,753,219.65/12,777.84
  6. Step 6: Final answer
    x = 16,024.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.