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Finding the Fourth Proportional to 10,593, 15,895.98 and 4,437

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Solution

The fourth proportional to 10,593, 15,895.98 and 4,437 is: 6,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593 : 15,895.98 = 4,437 : x
  2. Step 2: Convert to fraction form
    10,593/15,895.98 = 4,437/x
  3. Step 3: Cross multiply
    10,593x = 15,895.98 × 4,437
  4. Step 4: Simplify right side
    10,593x = 70,530,463.26
  5. Step 5: Solve for x
    x = 70,530,463.26/10,593
  6. Step 6: Final answer
    x = 6,658.21

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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.