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Finding the Fourth Proportional to 6,698.72, 10,048.64 and 2,314.40

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Solution

The fourth proportional to 6,698.72, 10,048.64 and 2,314.40 is: 3,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.72 : 10,048.64 = 2,314.40 : x
  2. Step 2: Convert to fraction form
    6,698.72/10,048.64 = 2,314.40/x
  3. Step 3: Cross multiply
    6,698.72x = 10,048.64 × 2,314.40
  4. Step 4: Simplify right side
    6,698.72x = 23,256,572.42
  5. Step 5: Solve for x
    x = 23,256,572.42/6,698.72
  6. Step 6: Final answer
    x = 3,471.79

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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.