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Finding the Fourth Proportional to 10,706.75, 14,784.44 and 6,734.51

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Solution

The fourth proportional to 10,706.75, 14,784.44 and 6,734.51 is: 9,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.75 : 14,784.44 = 6,734.51 : x
  2. Step 2: Convert to fraction form
    10,706.75/14,784.44 = 6,734.51/x
  3. Step 3: Cross multiply
    10,706.75x = 14,784.44 × 6,734.51
  4. Step 4: Simplify right side
    10,706.75x = 99,565,925.35
  5. Step 5: Solve for x
    x = 99,565,925.35/10,706.75
  6. Step 6: Final answer
    x = 9,299.36

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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.