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Finding the Fourth Proportional to 9,872.34, 14,813.10 and 4,324.97

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Solution

The fourth proportional to 9,872.34, 14,813.10 and 4,324.97 is: 6,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.34 : 14,813.10 = 4,324.97 : x
  2. Step 2: Convert to fraction form
    9,872.34/14,813.10 = 4,324.97/x
  3. Step 3: Cross multiply
    9,872.34x = 14,813.10 × 4,324.97
  4. Step 4: Simplify right side
    9,872.34x = 64,066,139.04
  5. Step 5: Solve for x
    x = 64,066,139.04/9,872.34
  6. Step 6: Final answer
    x = 6,489.46

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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.