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Finding the Fourth Proportional to 7,003.76, 9,665.19 and 4,019.54

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Solution

The fourth proportional to 7,003.76, 9,665.19 and 4,019.54 is: 5,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.76 : 9,665.19 = 4,019.54 : x
  2. Step 2: Convert to fraction form
    7,003.76/9,665.19 = 4,019.54/x
  3. Step 3: Cross multiply
    7,003.76x = 9,665.19 × 4,019.54
  4. Step 4: Simplify right side
    7,003.76x = 38,849,569.49
  5. Step 5: Solve for x
    x = 38,849,569.49/7,003.76
  6. Step 6: Final answer
    x = 5,546.96

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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.