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Finding the Fourth Proportional to 4,596.90, 6,345.12 and 4,361.76

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Solution

The fourth proportional to 4,596.90, 6,345.12 and 4,361.76 is: 6,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.90 : 6,345.12 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    4,596.90/6,345.12 = 4,361.76/x
  3. Step 3: Cross multiply
    4,596.90x = 6,345.12 × 4,361.76
  4. Step 4: Simplify right side
    4,596.90x = 27,675,890.61
  5. Step 5: Solve for x
    x = 27,675,890.61/4,596.90
  6. Step 6: Final answer
    x = 6,020.56

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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.