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Finding the Fourth Proportional to 14,283.60, 19,709.91 and 8,234.52

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Solution

The fourth proportional to 14,283.60, 19,709.91 and 8,234.52 is: 11,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.60 : 19,709.91 = 8,234.52 : x
  2. Step 2: Convert to fraction form
    14,283.60/19,709.91 = 8,234.52/x
  3. Step 3: Cross multiply
    14,283.60x = 19,709.91 × 8,234.52
  4. Step 4: Simplify right side
    14,283.60x = 162,301,648.09
  5. Step 5: Solve for x
    x = 162,301,648.09/14,283.60
  6. Step 6: Final answer
    x = 11,362.80

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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.