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Finding the Fourth Proportional to 12,199.74, 16,797.14 and 10,762.42

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Solution

The fourth proportional to 12,199.74, 16,797.14 and 10,762.42 is: 14,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.74 : 16,797.14 = 10,762.42 : x
  2. Step 2: Convert to fraction form
    12,199.74/16,797.14 = 10,762.42/x
  3. Step 3: Cross multiply
    12,199.74x = 16,797.14 × 10,762.42
  4. Step 4: Simplify right side
    12,199.74x = 180,777,875.48
  5. Step 5: Solve for x
    x = 180,777,875.48/12,199.74
  6. Step 6: Final answer
    x = 14,818.17

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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.