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Finding the Fourth Proportional to 12,154.50, 16,775.64 and 6,849.41

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Solution

The fourth proportional to 12,154.50, 16,775.64 and 6,849.41 is: 9,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.50 : 16,775.64 = 6,849.41 : x
  2. Step 2: Convert to fraction form
    12,154.50/16,775.64 = 6,849.41/x
  3. Step 3: Cross multiply
    12,154.50x = 16,775.64 × 6,849.41
  4. Step 4: Simplify right side
    12,154.50x = 114,903,152.49
  5. Step 5: Solve for x
    x = 114,903,152.49/12,154.50
  6. Step 6: Final answer
    x = 9,453.55

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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.