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Finding the Fourth Proportional to 4,877.51, 6,731.72 and 3,203.76

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Solution

The fourth proportional to 4,877.51, 6,731.72 and 3,203.76 is: 4,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.51 : 6,731.72 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    4,877.51/6,731.72 = 3,203.76/x
  3. Step 3: Cross multiply
    4,877.51x = 6,731.72 × 3,203.76
  4. Step 4: Simplify right side
    4,877.51x = 21,566,799.25
  5. Step 5: Solve for x
    x = 21,566,799.25/4,877.51
  6. Step 6: Final answer
    x = 4,421.69

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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.