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Finding the Fourth Proportional to 6,671.94, 9,207.34 and 4,658.28

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Solution

The fourth proportional to 6,671.94, 9,207.34 and 4,658.28 is: 6,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.94 : 9,207.34 = 4,658.28 : x
  2. Step 2: Convert to fraction form
    6,671.94/9,207.34 = 4,658.28/x
  3. Step 3: Cross multiply
    6,671.94x = 9,207.34 × 4,658.28
  4. Step 4: Simplify right side
    6,671.94x = 42,890,367.78
  5. Step 5: Solve for x
    x = 42,890,367.78/6,671.94
  6. Step 6: Final answer
    x = 6,428.47

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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.