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Finding the Fourth Proportional to 4,658.73, 6,420.01 and 4,354.17

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Solution

The fourth proportional to 4,658.73, 6,420.01 and 4,354.17 is: 6,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.73 : 6,420.01 = 4,354.17 : x
  2. Step 2: Convert to fraction form
    4,658.73/6,420.01 = 4,354.17/x
  3. Step 3: Cross multiply
    4,658.73x = 6,420.01 × 4,354.17
  4. Step 4: Simplify right side
    4,658.73x = 27,953,814.94
  5. Step 5: Solve for x
    x = 27,953,814.94/4,658.73
  6. Step 6: Final answer
    x = 6,000.31

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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.