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Finding the Fourth Proportional to 9,202.32, 13,800.74 and 3,278.16

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Solution

The fourth proportional to 9,202.32, 13,800.74 and 3,278.16 is: 4,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.32 : 13,800.74 = 3,278.16 : x
  2. Step 2: Convert to fraction form
    9,202.32/13,800.74 = 3,278.16/x
  3. Step 3: Cross multiply
    9,202.32x = 13,800.74 × 3,278.16
  4. Step 4: Simplify right side
    9,202.32x = 45,241,017.45
  5. Step 5: Solve for x
    x = 45,241,017.45/9,202.32
  6. Step 6: Final answer
    x = 4,916.26

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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.