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Finding the Fourth Proportional to 10,688.51, 14,671.28 and 9,466.82

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Solution

The fourth proportional to 10,688.51, 14,671.28 and 9,466.82 is: 12,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.51 : 14,671.28 = 9,466.82 : x
  2. Step 2: Convert to fraction form
    10,688.51/14,671.28 = 9,466.82/x
  3. Step 3: Cross multiply
    10,688.51x = 14,671.28 × 9,466.82
  4. Step 4: Simplify right side
    10,688.51x = 138,890,401.53
  5. Step 5: Solve for x
    x = 138,890,401.53/10,688.51
  6. Step 6: Final answer
    x = 12,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.