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Finding the Fourth Proportional to 14,914.54, 20,584.06 and 9,624.74

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Solution

The fourth proportional to 14,914.54, 20,584.06 and 9,624.74 is: 13,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.54 : 20,584.06 = 9,624.74 : x
  2. Step 2: Convert to fraction form
    14,914.54/20,584.06 = 9,624.74/x
  3. Step 3: Cross multiply
    14,914.54x = 20,584.06 × 9,624.74
  4. Step 4: Simplify right side
    14,914.54x = 198,116,225.64
  5. Step 5: Solve for x
    x = 198,116,225.64/14,914.54
  6. Step 6: Final answer
    x = 13,283.43

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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.