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Finding the Fourth Proportional to 14,291.64, 19,722.44 and 8,004.16

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Solution

The fourth proportional to 14,291.64, 19,722.44 and 8,004.16 is: 11,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.64 : 19,722.44 = 8,004.16 : x
  2. Step 2: Convert to fraction form
    14,291.64/19,722.44 = 8,004.16/x
  3. Step 3: Cross multiply
    14,291.64x = 19,722.44 × 8,004.16
  4. Step 4: Simplify right side
    14,291.64x = 157,861,565.35
  5. Step 5: Solve for x
    x = 157,861,565.35/14,291.64
  6. Step 6: Final answer
    x = 11,045.73

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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.