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Finding the Fourth Proportional to 12,676.93, 17,485.86 and 7,637.74

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Solution

The fourth proportional to 12,676.93, 17,485.86 and 7,637.74 is: 10,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.93 : 17,485.86 = 7,637.74 : x
  2. Step 2: Convert to fraction form
    12,676.93/17,485.86 = 7,637.74/x
  3. Step 3: Cross multiply
    12,676.93x = 17,485.86 × 7,637.74
  4. Step 4: Simplify right side
    12,676.93x = 133,552,452.36
  5. Step 5: Solve for x
    x = 133,552,452.36/12,676.93
  6. Step 6: Final answer
    x = 10,535.08

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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.