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Finding the Fourth Proportional to 7,537, 10,401.06 and 4,593

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Solution

The fourth proportional to 7,537, 10,401.06 and 4,593 is: 6,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 10,401.06 = 4,593 : x
  2. Step 2: Convert to fraction form
    7,537/10,401.06 = 4,593/x
  3. Step 3: Cross multiply
    7,537x = 10,401.06 × 4,593
  4. Step 4: Simplify right side
    7,537x = 47,772,068.58
  5. Step 5: Solve for x
    x = 47,772,068.58/7,537
  6. Step 6: Final answer
    x = 6,338.34

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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.