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Finding the Fourth Proportional to 9,394.76, 12,965.18 and 5,203

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Solution

The fourth proportional to 9,394.76, 12,965.18 and 5,203 is: 7,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.76 : 12,965.18 = 5,203 : x
  2. Step 2: Convert to fraction form
    9,394.76/12,965.18 = 5,203/x
  3. Step 3: Cross multiply
    9,394.76x = 12,965.18 × 5,203
  4. Step 4: Simplify right side
    9,394.76x = 67,457,831.54
  5. Step 5: Solve for x
    x = 67,457,831.54/9,394.76
  6. Step 6: Final answer
    x = 7,180.37

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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.