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Finding the Fourth Proportional to 14,507.21, 21,731.65 and 7,567.13

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Solution

The fourth proportional to 14,507.21, 21,731.65 and 7,567.13 is: 11,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.21 : 21,731.65 = 7,567.13 : x
  2. Step 2: Convert to fraction form
    14,507.21/21,731.65 = 7,567.13/x
  3. Step 3: Cross multiply
    14,507.21x = 21,731.65 × 7,567.13
  4. Step 4: Simplify right side
    14,507.21x = 164,446,093.09
  5. Step 5: Solve for x
    x = 164,446,093.09/14,507.21
  6. Step 6: Final answer
    x = 11,335.48

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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.