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Finding the Fourth Proportional to 12,132.59, 16,741.60 and 6,827.29

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Solution

The fourth proportional to 12,132.59, 16,741.60 and 6,827.29 is: 9,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.59 : 16,741.60 = 6,827.29 : x
  2. Step 2: Convert to fraction form
    12,132.59/16,741.60 = 6,827.29/x
  3. Step 3: Cross multiply
    12,132.59x = 16,741.60 × 6,827.29
  4. Step 4: Simplify right side
    12,132.59x = 114,299,699.34
  5. Step 5: Solve for x
    x = 114,299,699.34/12,132.59
  6. Step 6: Final answer
    x = 9,420.89

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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.