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Finding the Fourth Proportional to 10,697.84, 16,050 and 4,460.84

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Solution

The fourth proportional to 10,697.84, 16,050 and 4,460.84 is: 6,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.84 : 16,050 = 4,460.84 : x
  2. Step 2: Convert to fraction form
    10,697.84/16,050 = 4,460.84/x
  3. Step 3: Cross multiply
    10,697.84x = 16,050 × 4,460.84
  4. Step 4: Simplify right side
    10,697.84x = 71,596,482
  5. Step 5: Solve for x
    x = 71,596,482/10,697.84
  6. Step 6: Final answer
    x = 6,692.61

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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.