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Finding the Fourth Proportional to 4,877.68, 6,732.48 and 4,090.48

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Solution

The fourth proportional to 4,877.68, 6,732.48 and 4,090.48 is: 5,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.68 : 6,732.48 = 4,090.48 : x
  2. Step 2: Convert to fraction form
    4,877.68/6,732.48 = 4,090.48/x
  3. Step 3: Cross multiply
    4,877.68x = 6,732.48 × 4,090.48
  4. Step 4: Simplify right side
    4,877.68x = 27,539,074.79
  5. Step 5: Solve for x
    x = 27,539,074.79/4,877.68
  6. Step 6: Final answer
    x = 5,645.94

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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.