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Finding the Fourth Proportional to 6,457.68, 8,914.32 and 4,364.64

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Solution

The fourth proportional to 6,457.68, 8,914.32 and 4,364.64 is: 6,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.68 : 8,914.32 = 4,364.64 : x
  2. Step 2: Convert to fraction form
    6,457.68/8,914.32 = 4,364.64/x
  3. Step 3: Cross multiply
    6,457.68x = 8,914.32 × 4,364.64
  4. Step 4: Simplify right side
    6,457.68x = 38,907,797.64
  5. Step 5: Solve for x
    x = 38,907,797.64/6,457.68
  6. Step 6: Final answer
    x = 6,025.04

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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.