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Finding the Fourth Proportional to 14,134.01, 19,507.62 and 9,354.03

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Solution

The fourth proportional to 14,134.01, 19,507.62 and 9,354.03 is: 12,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.01 : 19,507.62 = 9,354.03 : x
  2. Step 2: Convert to fraction form
    14,134.01/19,507.62 = 9,354.03/x
  3. Step 3: Cross multiply
    14,134.01x = 19,507.62 × 9,354.03
  4. Step 4: Simplify right side
    14,134.01x = 182,474,862.71
  5. Step 5: Solve for x
    x = 182,474,862.71/14,134.01
  6. Step 6: Final answer
    x = 12,910.34

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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.