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Finding the Fourth Proportional to 9,745.64, 13,455.44 and 7,503.56

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Solution

The fourth proportional to 9,745.64, 13,455.44 and 7,503.56 is: 10,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.64 : 13,455.44 = 7,503.56 : x
  2. Step 2: Convert to fraction form
    9,745.64/13,455.44 = 7,503.56/x
  3. Step 3: Cross multiply
    9,745.64x = 13,455.44 × 7,503.56
  4. Step 4: Simplify right side
    9,745.64x = 100,963,701.37
  5. Step 5: Solve for x
    x = 100,963,701.37/9,745.64
  6. Step 6: Final answer
    x = 10,359.88

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Double scale
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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.