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Finding the Fourth Proportional to 4,867.64, 7,307.73 and 4,178.73

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Solution

The fourth proportional to 4,867.64, 7,307.73 and 4,178.73 is: 6,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.64 : 7,307.73 = 4,178.73 : x
  2. Step 2: Convert to fraction form
    4,867.64/7,307.73 = 4,178.73/x
  3. Step 3: Cross multiply
    4,867.64x = 7,307.73 × 4,178.73
  4. Step 4: Simplify right side
    4,867.64x = 30,537,030.58
  5. Step 5: Solve for x
    x = 30,537,030.58/4,867.64
  6. Step 6: Final answer
    x = 6,273.48

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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.