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Finding the Fourth Proportional to 14,559.84, 21,843 and 4,171.68

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Solution

The fourth proportional to 14,559.84, 21,843 and 4,171.68 is: 6,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.84 : 21,843 = 4,171.68 : x
  2. Step 2: Convert to fraction form
    14,559.84/21,843 = 4,171.68/x
  3. Step 3: Cross multiply
    14,559.84x = 21,843 × 4,171.68
  4. Step 4: Simplify right side
    14,559.84x = 91,122,006.24
  5. Step 5: Solve for x
    x = 91,122,006.24/14,559.84
  6. Step 6: Final answer
    x = 6,258.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.