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Finding the Fourth Proportional to 15,891.78, 21,931.65 and 9,178.64

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Solution

The fourth proportional to 15,891.78, 21,931.65 and 9,178.64 is: 12,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.78 : 21,931.65 = 9,178.64 : x
  2. Step 2: Convert to fraction form
    15,891.78/21,931.65 = 9,178.64/x
  3. Step 3: Cross multiply
    15,891.78x = 21,931.65 × 9,178.64
  4. Step 4: Simplify right side
    15,891.78x = 201,302,610.30
  5. Step 5: Solve for x
    x = 201,302,610.30/15,891.78
  6. Step 6: Final answer
    x = 12,667.09

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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.