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Finding the Fourth Proportional to 14,853.76, 20,493.14 and 8,475.77

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Solution

The fourth proportional to 14,853.76, 20,493.14 and 8,475.77 is: 11,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.76 : 20,493.14 = 8,475.77 : x
  2. Step 2: Convert to fraction form
    14,853.76/20,493.14 = 8,475.77/x
  3. Step 3: Cross multiply
    14,853.76x = 20,493.14 × 8,475.77
  4. Step 4: Simplify right side
    14,853.76x = 173,695,141.22
  5. Step 5: Solve for x
    x = 173,695,141.22/14,853.76
  6. Step 6: Final answer
    x = 11,693.68

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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.