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Finding the Fourth Proportional to 6,457.96, 8,853.94 and 6,341.32

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Solution

The fourth proportional to 6,457.96, 8,853.94 and 6,341.32 is: 8,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.96 : 8,853.94 = 6,341.32 : x
  2. Step 2: Convert to fraction form
    6,457.96/8,853.94 = 6,341.32/x
  3. Step 3: Cross multiply
    6,457.96x = 8,853.94 × 6,341.32
  4. Step 4: Simplify right side
    6,457.96x = 56,145,666.80
  5. Step 5: Solve for x
    x = 56,145,666.80/6,457.96
  6. Step 6: Final answer
    x = 8,694.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.