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Finding the Fourth Proportional to 12,308.63, 16,986.00 and 6,719.63

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Solution

The fourth proportional to 12,308.63, 16,986.00 and 6,719.63 is: 9,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.63 : 16,986.00 = 6,719.63 : x
  2. Step 2: Convert to fraction form
    12,308.63/16,986.00 = 6,719.63/x
  3. Step 3: Cross multiply
    12,308.63x = 16,986.00 × 6,719.63
  4. Step 4: Simplify right side
    12,308.63x = 114,139,575.45
  5. Step 5: Solve for x
    x = 114,139,575.45/12,308.63
  6. Step 6: Final answer
    x = 9,273.14

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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.