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Finding the Fourth Proportional to 9,750.16, 13,453.08 and 5,768.24

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Solution

The fourth proportional to 9,750.16, 13,453.08 and 5,768.24 is: 7,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.16 : 13,453.08 = 5,768.24 : x
  2. Step 2: Convert to fraction form
    9,750.16/13,453.08 = 5,768.24/x
  3. Step 3: Cross multiply
    9,750.16x = 13,453.08 × 5,768.24
  4. Step 4: Simplify right side
    9,750.16x = 77,600,594.18
  5. Step 5: Solve for x
    x = 77,600,594.18/9,750.16
  6. Step 6: Final answer
    x = 7,958.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.