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Finding the Fourth Proportional to 10,414.48, 14,372 and 5,698.76

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Solution

The fourth proportional to 10,414.48, 14,372 and 5,698.76 is: 7,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.48 : 14,372 = 5,698.76 : x
  2. Step 2: Convert to fraction form
    10,414.48/14,372 = 5,698.76/x
  3. Step 3: Cross multiply
    10,414.48x = 14,372 × 5,698.76
  4. Step 4: Simplify right side
    10,414.48x = 81,902,578.72
  5. Step 5: Solve for x
    x = 81,902,578.72/10,414.48
  6. Step 6: Final answer
    x = 7,864.30

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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.