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Finding the Fourth Proportional to 9,707.56, 14,550.08 and 5,550.48

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Solution

The fourth proportional to 9,707.56, 14,550.08 and 5,550.48 is: 8,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.56 : 14,550.08 = 5,550.48 : x
  2. Step 2: Convert to fraction form
    9,707.56/14,550.08 = 5,550.48/x
  3. Step 3: Cross multiply
    9,707.56x = 14,550.08 × 5,550.48
  4. Step 4: Simplify right side
    9,707.56x = 80,759,928.04
  5. Step 5: Solve for x
    x = 80,759,928.04/9,707.56
  6. Step 6: Final answer
    x = 8,319.28

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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.