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Finding the Fourth Proportional to 14,946.48, 20,625.24 and 8,322.48

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Solution

The fourth proportional to 14,946.48, 20,625.24 and 8,322.48 is: 11,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.48 : 20,625.24 = 8,322.48 : x
  2. Step 2: Convert to fraction form
    14,946.48/20,625.24 = 8,322.48/x
  3. Step 3: Cross multiply
    14,946.48x = 20,625.24 × 8,322.48
  4. Step 4: Simplify right side
    14,946.48x = 171,653,147.40
  5. Step 5: Solve for x
    x = 171,653,147.40/14,946.48
  6. Step 6: Final answer
    x = 11,484.52

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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.