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Finding the Fourth Proportional to 10,999.76, 16,496.31 and 9,245.30

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Solution

The fourth proportional to 10,999.76, 16,496.31 and 9,245.30 is: 13,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.76 : 16,496.31 = 9,245.30 : x
  2. Step 2: Convert to fraction form
    10,999.76/16,496.31 = 9,245.30/x
  3. Step 3: Cross multiply
    10,999.76x = 16,496.31 × 9,245.30
  4. Step 4: Simplify right side
    10,999.76x = 152,513,334.84
  5. Step 5: Solve for x
    x = 152,513,334.84/10,999.76
  6. Step 6: Final answer
    x = 13,865.15

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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.