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Finding the Fourth Proportional to 7,546, 10,414.02 and 4,401.04

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Solution

The fourth proportional to 7,546, 10,414.02 and 4,401.04 is: 6,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 10,414.02 = 4,401.04 : x
  2. Step 2: Convert to fraction form
    7,546/10,414.02 = 4,401.04/x
  3. Step 3: Cross multiply
    7,546x = 10,414.02 × 4,401.04
  4. Step 4: Simplify right side
    7,546x = 45,832,518.58
  5. Step 5: Solve for x
    x = 45,832,518.58/7,546
  6. Step 6: Final answer
    x = 6,073.75

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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.