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Finding the Fourth Proportional to 4,903.61, 6,766.85 and 2,665.42

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Solution

The fourth proportional to 4,903.61, 6,766.85 and 2,665.42 is: 3,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.61 : 6,766.85 = 2,665.42 : x
  2. Step 2: Convert to fraction form
    4,903.61/6,766.85 = 2,665.42/x
  3. Step 3: Cross multiply
    4,903.61x = 6,766.85 × 2,665.42
  4. Step 4: Simplify right side
    4,903.61x = 18,036,450.17
  5. Step 5: Solve for x
    x = 18,036,450.17/4,903.61
  6. Step 6: Final answer
    x = 3,678.20

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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.