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Finding the Fourth Proportional to 10,738, 16,113.48 and 4,582

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Solution

The fourth proportional to 10,738, 16,113.48 and 4,582 is: 6,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738 : 16,113.48 = 4,582 : x
  2. Step 2: Convert to fraction form
    10,738/16,113.48 = 4,582/x
  3. Step 3: Cross multiply
    10,738x = 16,113.48 × 4,582
  4. Step 4: Simplify right side
    10,738x = 73,831,965.36
  5. Step 5: Solve for x
    x = 73,831,965.36/10,738
  6. Step 6: Final answer
    x = 6,875.77

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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.