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Finding the Fourth Proportional to 9,252.84, 13,893.88 and 7,313.72

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Solution

The fourth proportional to 9,252.84, 13,893.88 and 7,313.72 is: 10,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.84 : 13,893.88 = 7,313.72 : x
  2. Step 2: Convert to fraction form
    9,252.84/13,893.88 = 7,313.72/x
  3. Step 3: Cross multiply
    9,252.84x = 13,893.88 × 7,313.72
  4. Step 4: Simplify right side
    9,252.84x = 101,615,948.03
  5. Step 5: Solve for x
    x = 101,615,948.03/9,252.84
  6. Step 6: Final answer
    x = 10,982.14

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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.