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Finding the Fourth Proportional to 10,914.80, 16,362.60 and 9,748.40

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Solution

The fourth proportional to 10,914.80, 16,362.60 and 9,748.40 is: 14,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.80 : 16,362.60 = 9,748.40 : x
  2. Step 2: Convert to fraction form
    10,914.80/16,362.60 = 9,748.40/x
  3. Step 3: Cross multiply
    10,914.80x = 16,362.60 × 9,748.40
  4. Step 4: Simplify right side
    10,914.80x = 159,509,169.84
  5. Step 5: Solve for x
    x = 159,509,169.84/10,914.80
  6. Step 6: Final answer
    x = 14,614.03

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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.