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Finding the Fourth Proportional to 12,133, 16,743.13 and 6,827.50

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Solution

The fourth proportional to 12,133, 16,743.13 and 6,827.50 is: 9,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133 : 16,743.13 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    12,133/16,743.13 = 6,827.50/x
  3. Step 3: Cross multiply
    12,133x = 16,743.13 × 6,827.50
  4. Step 4: Simplify right side
    12,133x = 114,313,720.08
  5. Step 5: Solve for x
    x = 114,313,720.08/12,133
  6. Step 6: Final answer
    x = 9,421.72

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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.