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Finding the Fourth Proportional to 4,702.74, 7,006.82 and 4,635.11

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Solution

The fourth proportional to 4,702.74, 7,006.82 and 4,635.11 is: 6,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.74 : 7,006.82 = 4,635.11 : x
  2. Step 2: Convert to fraction form
    4,702.74/7,006.82 = 4,635.11/x
  3. Step 3: Cross multiply
    4,702.74x = 7,006.82 × 4,635.11
  4. Step 4: Simplify right side
    4,702.74x = 32,477,323.24
  5. Step 5: Solve for x
    x = 32,477,323.24/4,702.74
  6. Step 6: Final answer
    x = 6,906.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.