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Finding the Fourth Proportional to 7,702.53, 10,629.98 and 4,344.12

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Solution

The fourth proportional to 7,702.53, 10,629.98 and 4,344.12 is: 5,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.53 : 10,629.98 = 4,344.12 : x
  2. Step 2: Convert to fraction form
    7,702.53/10,629.98 = 4,344.12/x
  3. Step 3: Cross multiply
    7,702.53x = 10,629.98 × 4,344.12
  4. Step 4: Simplify right side
    7,702.53x = 46,177,855.57
  5. Step 5: Solve for x
    x = 46,177,855.57/7,702.53
  6. Step 6: Final answer
    x = 5,995.16

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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.