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Finding the Fourth Proportional to 6,457.92, 8,909.64 and 3,804.72

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Solution

The fourth proportional to 6,457.92, 8,909.64 and 3,804.72 is: 5,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 8,909.64 = 3,804.72 : x
  2. Step 2: Convert to fraction form
    6,457.92/8,909.64 = 3,804.72/x
  3. Step 3: Cross multiply
    6,457.92x = 8,909.64 × 3,804.72
  4. Step 4: Simplify right side
    6,457.92x = 33,898,685.50
  5. Step 5: Solve for x
    x = 33,898,685.50/6,457.92
  6. Step 6: Final answer
    x = 5,249.16

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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.