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Finding the Fourth Proportional to 14,225.76, 19,630.08 and 8,256.06

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Solution

The fourth proportional to 14,225.76, 19,630.08 and 8,256.06 is: 11,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.76 : 19,630.08 = 8,256.06 : x
  2. Step 2: Convert to fraction form
    14,225.76/19,630.08 = 8,256.06/x
  3. Step 3: Cross multiply
    14,225.76x = 19,630.08 × 8,256.06
  4. Step 4: Simplify right side
    14,225.76x = 162,067,118.28
  5. Step 5: Solve for x
    x = 162,067,118.28/14,225.76
  6. Step 6: Final answer
    x = 11,392.51

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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.