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Finding the Fourth Proportional to 12,132.50, 16,742.74 and 6,827.31

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Solution

The fourth proportional to 12,132.50, 16,742.74 and 6,827.31 is: 9,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.50 : 16,742.74 = 6,827.31 : x
  2. Step 2: Convert to fraction form
    12,132.50/16,742.74 = 6,827.31/x
  3. Step 3: Cross multiply
    12,132.50x = 16,742.74 × 6,827.31
  4. Step 4: Simplify right side
    12,132.50x = 114,307,909.45
  5. Step 5: Solve for x
    x = 114,307,909.45/12,132.50
  6. Step 6: Final answer
    x = 9,421.63

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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.