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Finding the Fourth Proportional to 9,265.07, 13,905.09 and 7,180.13

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Solution

The fourth proportional to 9,265.07, 13,905.09 and 7,180.13 is: 10,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.07 : 13,905.09 = 7,180.13 : x
  2. Step 2: Convert to fraction form
    9,265.07/13,905.09 = 7,180.13/x
  3. Step 3: Cross multiply
    9,265.07x = 13,905.09 × 7,180.13
  4. Step 4: Simplify right side
    9,265.07x = 99,840,284.34
  5. Step 5: Solve for x
    x = 99,840,284.34/9,265.07
  6. Step 6: Final answer
    x = 10,775.99

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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.