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Finding the Fourth Proportional to 14,377.84, 19,840.35 and 8,089

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Solution

The fourth proportional to 14,377.84, 19,840.35 and 8,089 is: 11,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.84 : 19,840.35 = 8,089 : x
  2. Step 2: Convert to fraction form
    14,377.84/19,840.35 = 8,089/x
  3. Step 3: Cross multiply
    14,377.84x = 19,840.35 × 8,089
  4. Step 4: Simplify right side
    14,377.84x = 160,488,591.15
  5. Step 5: Solve for x
    x = 160,488,591.15/14,377.84
  6. Step 6: Final answer
    x = 11,162.22

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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.