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Finding the Fourth Proportional to 6,494.94, 8,957.13 and 4,256.00

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Solution

The fourth proportional to 6,494.94, 8,957.13 and 4,256.00 is: 5,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.94 : 8,957.13 = 4,256.00 : x
  2. Step 2: Convert to fraction form
    6,494.94/8,957.13 = 4,256.00/x
  3. Step 3: Cross multiply
    6,494.94x = 8,957.13 × 4,256.00
  4. Step 4: Simplify right side
    6,494.94x = 38,121,500.49
  5. Step 5: Solve for x
    x = 38,121,500.49/6,494.94
  6. Step 6: Final answer
    x = 5,869.42

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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.