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Finding the Fourth Proportional to 12,686.96, 17,514.36 and 7,973.84

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Solution

The fourth proportional to 12,686.96, 17,514.36 and 7,973.84 is: 11,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.96 : 17,514.36 = 7,973.84 : x
  2. Step 2: Convert to fraction form
    12,686.96/17,514.36 = 7,973.84/x
  3. Step 3: Cross multiply
    12,686.96x = 17,514.36 × 7,973.84
  4. Step 4: Simplify right side
    12,686.96x = 139,656,704.34
  5. Step 5: Solve for x
    x = 139,656,704.34/12,686.96
  6. Step 6: Final answer
    x = 11,007.89

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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.