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Finding the Fourth Proportional to 18,277.51, 27,412.16 and 8,407.30

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Solution

The fourth proportional to 18,277.51, 27,412.16 and 8,407.30 is: 12,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.51 : 27,412.16 = 8,407.30 : x
  2. Step 2: Convert to fraction form
    18,277.51/27,412.16 = 8,407.30/x
  3. Step 3: Cross multiply
    18,277.51x = 27,412.16 × 8,407.30
  4. Step 4: Simplify right side
    18,277.51x = 230,462,252.77
  5. Step 5: Solve for x
    x = 230,462,252.77/18,277.51
  6. Step 6: Final answer
    x = 12,609.06

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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.