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Finding the Fourth Proportional to 7,684.77, 10,605.78 and 4,702.59

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Solution

The fourth proportional to 7,684.77, 10,605.78 and 4,702.59 is: 6,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.77 : 10,605.78 = 4,702.59 : x
  2. Step 2: Convert to fraction form
    7,684.77/10,605.78 = 4,702.59/x
  3. Step 3: Cross multiply
    7,684.77x = 10,605.78 × 4,702.59
  4. Step 4: Simplify right side
    7,684.77x = 49,874,634.97
  5. Step 5: Solve for x
    x = 49,874,634.97/7,684.77
  6. Step 6: Final answer
    x = 6,490.06

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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.