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Finding the Fourth Proportional to 14,574.96, 21,872.88 and 5,214.96

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Solution

The fourth proportional to 14,574.96, 21,872.88 and 5,214.96 is: 7,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.96 : 21,872.88 = 5,214.96 : x
  2. Step 2: Convert to fraction form
    14,574.96/21,872.88 = 5,214.96/x
  3. Step 3: Cross multiply
    14,574.96x = 21,872.88 × 5,214.96
  4. Step 4: Simplify right side
    14,574.96x = 114,066,194.28
  5. Step 5: Solve for x
    x = 114,066,194.28/14,574.96
  6. Step 6: Final answer
    x = 7,826.18

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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.