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Finding the Fourth Proportional to 10,885.68, 16,313.94 and 9,602.64

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Solution

The fourth proportional to 10,885.68, 16,313.94 and 9,602.64 is: 14,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.68 : 16,313.94 = 9,602.64 : x
  2. Step 2: Convert to fraction form
    10,885.68/16,313.94 = 9,602.64/x
  3. Step 3: Cross multiply
    10,885.68x = 16,313.94 × 9,602.64
  4. Step 4: Simplify right side
    10,885.68x = 156,656,892.80
  5. Step 5: Solve for x
    x = 156,656,892.80/10,885.68
  6. Step 6: Final answer
    x = 14,391.10

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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.