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Finding the Fourth Proportional to 13,904.61, 19,193.04 and 8,453.64

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Solution

The fourth proportional to 13,904.61, 19,193.04 and 8,453.64 is: 11,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.61 : 19,193.04 = 8,453.64 : x
  2. Step 2: Convert to fraction form
    13,904.61/19,193.04 = 8,453.64/x
  3. Step 3: Cross multiply
    13,904.61x = 19,193.04 × 8,453.64
  4. Step 4: Simplify right side
    13,904.61x = 162,251,050.67
  5. Step 5: Solve for x
    x = 162,251,050.67/13,904.61
  6. Step 6: Final answer
    x = 11,668.87

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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.