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Finding the Fourth Proportional to 14,391, 19,859.64 and 8,103.48

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Solution

The fourth proportional to 14,391, 19,859.64 and 8,103.48 is: 11,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391 : 19,859.64 = 8,103.48 : x
  2. Step 2: Convert to fraction form
    14,391/19,859.64 = 8,103.48/x
  3. Step 3: Cross multiply
    14,391x = 19,859.64 × 8,103.48
  4. Step 4: Simplify right side
    14,391x = 160,932,195.55
  5. Step 5: Solve for x
    x = 160,932,195.55/14,391
  6. Step 6: Final answer
    x = 11,182.84

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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.