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Finding the Fourth Proportional to 6,853.69, 9,457.43 and 5,440.80

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Solution

The fourth proportional to 6,853.69, 9,457.43 and 5,440.80 is: 7,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.69 : 9,457.43 = 5,440.80 : x
  2. Step 2: Convert to fraction form
    6,853.69/9,457.43 = 5,440.80/x
  3. Step 3: Cross multiply
    6,853.69x = 9,457.43 × 5,440.80
  4. Step 4: Simplify right side
    6,853.69x = 51,455,985.14
  5. Step 5: Solve for x
    x = 51,455,985.14/6,853.69
  6. Step 6: Final answer
    x = 7,507.78

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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.