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Finding the Fourth Proportional to 10,641.02, 14,680.35 and 6,659.46

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Solution

The fourth proportional to 10,641.02, 14,680.35 and 6,659.46 is: 9,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.02 : 14,680.35 = 6,659.46 : x
  2. Step 2: Convert to fraction form
    10,641.02/14,680.35 = 6,659.46/x
  3. Step 3: Cross multiply
    10,641.02x = 14,680.35 × 6,659.46
  4. Step 4: Simplify right side
    10,641.02x = 97,763,203.61
  5. Step 5: Solve for x
    x = 97,763,203.61/10,641.02
  6. Step 6: Final answer
    x = 9,187.39

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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.