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Finding the Fourth Proportional to 12,814.00, 17,679.16 and 8,038.14

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Solution

The fourth proportional to 12,814.00, 17,679.16 and 8,038.14 is: 11,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.00 : 17,679.16 = 8,038.14 : x
  2. Step 2: Convert to fraction form
    12,814.00/17,679.16 = 8,038.14/x
  3. Step 3: Cross multiply
    12,814.00x = 17,679.16 × 8,038.14
  4. Step 4: Simplify right side
    12,814.00x = 142,107,506.91
  5. Step 5: Solve for x
    x = 142,107,506.91/12,814.00
  6. Step 6: Final answer
    x = 11,090.02

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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.