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Finding the Fourth Proportional to 10,898.16, 16,355.94 and 4,329

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Solution

The fourth proportional to 10,898.16, 16,355.94 and 4,329 is: 6,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.16 : 16,355.94 = 4,329 : x
  2. Step 2: Convert to fraction form
    10,898.16/16,355.94 = 4,329/x
  3. Step 3: Cross multiply
    10,898.16x = 16,355.94 × 4,329
  4. Step 4: Simplify right side
    10,898.16x = 70,804,864.26
  5. Step 5: Solve for x
    x = 70,804,864.26/10,898.16
  6. Step 6: Final answer
    x = 6,496.96

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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.