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Finding the Fourth Proportional to 4,702.40, 6,476.19 and 4,600.34

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Solution

The fourth proportional to 4,702.40, 6,476.19 and 4,600.34 is: 6,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.40 : 6,476.19 = 4,600.34 : x
  2. Step 2: Convert to fraction form
    4,702.40/6,476.19 = 4,600.34/x
  3. Step 3: Cross multiply
    4,702.40x = 6,476.19 × 4,600.34
  4. Step 4: Simplify right side
    4,702.40x = 29,792,675.90
  5. Step 5: Solve for x
    x = 29,792,675.90/4,702.40
  6. Step 6: Final answer
    x = 6,335.63

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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.