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Finding the Fourth Proportional to 10,894.69, 16,343.74 and 4,654.74

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Solution

The fourth proportional to 10,894.69, 16,343.74 and 4,654.74 is: 6,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.69 : 16,343.74 = 4,654.74 : x
  2. Step 2: Convert to fraction form
    10,894.69/16,343.74 = 4,654.74/x
  3. Step 3: Cross multiply
    10,894.69x = 16,343.74 × 4,654.74
  4. Step 4: Simplify right side
    10,894.69x = 76,075,861.83
  5. Step 5: Solve for x
    x = 76,075,861.83/10,894.69
  6. Step 6: Final answer
    x = 6,982.84

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1.5x scale

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.