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Finding the Fourth Proportional to 7,702.43, 10,629.32 and 4,345.22

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Solution

The fourth proportional to 7,702.43, 10,629.32 and 4,345.22 is: 5,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.43 : 10,629.32 = 4,345.22 : x
  2. Step 2: Convert to fraction form
    7,702.43/10,629.32 = 4,345.22/x
  3. Step 3: Cross multiply
    7,702.43x = 10,629.32 × 4,345.22
  4. Step 4: Simplify right side
    7,702.43x = 46,186,658.98
  5. Step 5: Solve for x
    x = 46,186,658.98/7,702.43
  6. Step 6: Final answer
    x = 5,996.38

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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.