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Finding the Fourth Proportional to 9,203.64, 13,805.47 and 2,278.14

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Solution

The fourth proportional to 9,203.64, 13,805.47 and 2,278.14 is: 3,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.64 : 13,805.47 = 2,278.14 : x
  2. Step 2: Convert to fraction form
    9,203.64/13,805.47 = 2,278.14/x
  3. Step 3: Cross multiply
    9,203.64x = 13,805.47 × 2,278.14
  4. Step 4: Simplify right side
    9,203.64x = 31,450,816.55
  5. Step 5: Solve for x
    x = 31,450,816.55/9,203.64
  6. Step 6: Final answer
    x = 3,417.21

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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.