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Finding the Fourth Proportional to 14,332.25, 19,782.62 and 8,667

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Solution

The fourth proportional to 14,332.25, 19,782.62 and 8,667 is: 11,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.25 : 19,782.62 = 8,667 : x
  2. Step 2: Convert to fraction form
    14,332.25/19,782.62 = 8,667/x
  3. Step 3: Cross multiply
    14,332.25x = 19,782.62 × 8,667
  4. Step 4: Simplify right side
    14,332.25x = 171,455,924.21
  5. Step 5: Solve for x
    x = 171,455,924.21/14,332.25
  6. Step 6: Final answer
    x = 11,962.95

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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.