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Finding the Fourth Proportional to 9,313.47, 13,973.04 and 3,765.78

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Solution

The fourth proportional to 9,313.47, 13,973.04 and 3,765.78 is: 5,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.47 : 13,973.04 = 3,765.78 : x
  2. Step 2: Convert to fraction form
    9,313.47/13,973.04 = 3,765.78/x
  3. Step 3: Cross multiply
    9,313.47x = 13,973.04 × 3,765.78
  4. Step 4: Simplify right side
    9,313.47x = 52,619,394.57
  5. Step 5: Solve for x
    x = 52,619,394.57/9,313.47
  6. Step 6: Final answer
    x = 5,649.82

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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.