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Finding the Fourth Proportional to 6,953.32, 10,411.75 and 4,766.32

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Solution

The fourth proportional to 6,953.32, 10,411.75 and 4,766.32 is: 7,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.32 : 10,411.75 = 4,766.32 : x
  2. Step 2: Convert to fraction form
    6,953.32/10,411.75 = 4,766.32/x
  3. Step 3: Cross multiply
    6,953.32x = 10,411.75 × 4,766.32
  4. Step 4: Simplify right side
    6,953.32x = 49,625,703.25
  5. Step 5: Solve for x
    x = 49,625,703.25/6,953.32
  6. Step 6: Final answer
    x = 7,136.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.