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Finding the Fourth Proportional to 9,741.60, 14,628.60 and 5,362.20

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Solution

The fourth proportional to 9,741.60, 14,628.60 and 5,362.20 is: 8,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.60 : 14,628.60 = 5,362.20 : x
  2. Step 2: Convert to fraction form
    9,741.60/14,628.60 = 5,362.20/x
  3. Step 3: Cross multiply
    9,741.60x = 14,628.60 × 5,362.20
  4. Step 4: Simplify right side
    9,741.60x = 78,441,478.92
  5. Step 5: Solve for x
    x = 78,441,478.92/9,741.60
  6. Step 6: Final answer
    x = 8,052.22

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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.