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Finding the Fourth Proportional to 9,567.88, 14,257.91 and 9,254.68

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Solution

The fourth proportional to 9,567.88, 14,257.91 and 9,254.68 is: 13,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.88 : 14,257.91 = 9,254.68 : x
  2. Step 2: Convert to fraction form
    9,567.88/14,257.91 = 9,254.68/x
  3. Step 3: Cross multiply
    9,567.88x = 14,257.91 × 9,254.68
  4. Step 4: Simplify right side
    9,567.88x = 131,952,394.52
  5. Step 5: Solve for x
    x = 131,952,394.52/9,567.88
  6. Step 6: Final answer
    x = 13,791.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.