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Finding the Fourth Proportional to 7,002.54, 9,664.80 and 4,018.38

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Solution

The fourth proportional to 7,002.54, 9,664.80 and 4,018.38 is: 5,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.54 : 9,664.80 = 4,018.38 : x
  2. Step 2: Convert to fraction form
    7,002.54/9,664.80 = 4,018.38/x
  3. Step 3: Cross multiply
    7,002.54x = 9,664.80 × 4,018.38
  4. Step 4: Simplify right side
    7,002.54x = 38,836,839.02
  5. Step 5: Solve for x
    x = 38,836,839.02/7,002.54
  6. Step 6: Final answer
    x = 5,546.11

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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.