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Finding the Fourth Proportional to 14,182.74, 19,570.50 and 8,213.60

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Solution

The fourth proportional to 14,182.74, 19,570.50 and 8,213.60 is: 11,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.74 : 19,570.50 = 8,213.60 : x
  2. Step 2: Convert to fraction form
    14,182.74/19,570.50 = 8,213.60/x
  3. Step 3: Cross multiply
    14,182.74x = 19,570.50 × 8,213.60
  4. Step 4: Simplify right side
    14,182.74x = 160,744,307.73
  5. Step 5: Solve for x
    x = 160,744,307.73/14,182.74
  6. Step 6: Final answer
    x = 11,333.80

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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.