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Finding the Fourth Proportional to 4,177.84, 6,266.84 and 1,256.24

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Solution

The fourth proportional to 4,177.84, 6,266.84 and 1,256.24 is: 1,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.84 : 6,266.84 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    4,177.84/6,266.84 = 1,256.24/x
  3. Step 3: Cross multiply
    4,177.84x = 6,266.84 × 1,256.24
  4. Step 4: Simplify right side
    4,177.84x = 7,872,655.08
  5. Step 5: Solve for x
    x = 7,872,655.08/4,177.84
  6. Step 6: Final answer
    x = 1,884.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.