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Finding the Fourth Proportional to 7,440.68, 10,268.46 and 4,457

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Solution

The fourth proportional to 7,440.68, 10,268.46 and 4,457 is: 6,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.68 : 10,268.46 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,440.68/10,268.46 = 4,457/x
  3. Step 3: Cross multiply
    7,440.68x = 10,268.46 × 4,457
  4. Step 4: Simplify right side
    7,440.68x = 45,766,526.22
  5. Step 5: Solve for x
    x = 45,766,526.22/7,440.68
  6. Step 6: Final answer
    x = 6,150.85

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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.