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Finding the Fourth Proportional to 14,455.49, 19,946.49 and 8,405.52

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Solution

The fourth proportional to 14,455.49, 19,946.49 and 8,405.52 is: 11,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.49 : 19,946.49 = 8,405.52 : x
  2. Step 2: Convert to fraction form
    14,455.49/19,946.49 = 8,405.52/x
  3. Step 3: Cross multiply
    14,455.49x = 19,946.49 × 8,405.52
  4. Step 4: Simplify right side
    14,455.49x = 167,660,620.62
  5. Step 5: Solve for x
    x = 167,660,620.62/14,455.49
  6. Step 6: Final answer
    x = 11,598.41

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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.