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Finding the Fourth Proportional to 4,658.07, 6,428 and 2,562.19

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Solution

The fourth proportional to 4,658.07, 6,428 and 2,562.19 is: 3,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.07 : 6,428 = 2,562.19 : x
  2. Step 2: Convert to fraction form
    4,658.07/6,428 = 2,562.19/x
  3. Step 3: Cross multiply
    4,658.07x = 6,428 × 2,562.19
  4. Step 4: Simplify right side
    4,658.07x = 16,469,757.32
  5. Step 5: Solve for x
    x = 16,469,757.32/4,658.07
  6. Step 6: Final answer
    x = 3,535.75

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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.