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Finding the Fourth Proportional to 4,596.71, 6,893.64 and 1,476.59

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Solution

The fourth proportional to 4,596.71, 6,893.64 and 1,476.59 is: 2,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.71 : 6,893.64 = 1,476.59 : x
  2. Step 2: Convert to fraction form
    4,596.71/6,893.64 = 1,476.59/x
  3. Step 3: Cross multiply
    4,596.71x = 6,893.64 × 1,476.59
  4. Step 4: Simplify right side
    4,596.71x = 10,179,045.42
  5. Step 5: Solve for x
    x = 10,179,045.42/4,596.71
  6. Step 6: Final answer
    x = 2,214.42

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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.