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Finding the Fourth Proportional to 12,435.94, 18,654.10 and 6,924.31

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Solution

The fourth proportional to 12,435.94, 18,654.10 and 6,924.31 is: 10,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.94 : 18,654.10 = 6,924.31 : x
  2. Step 2: Convert to fraction form
    12,435.94/18,654.10 = 6,924.31/x
  3. Step 3: Cross multiply
    12,435.94x = 18,654.10 × 6,924.31
  4. Step 4: Simplify right side
    12,435.94x = 129,166,771.17
  5. Step 5: Solve for x
    x = 129,166,771.17/12,435.94
  6. Step 6: Final answer
    x = 10,386.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.