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Finding the Fourth Proportional to 9,013.71, 13,502.19 and 7,353.75

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Solution

The fourth proportional to 9,013.71, 13,502.19 and 7,353.75 is: 11,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.71 : 13,502.19 = 7,353.75 : x
  2. Step 2: Convert to fraction form
    9,013.71/13,502.19 = 7,353.75/x
  3. Step 3: Cross multiply
    9,013.71x = 13,502.19 × 7,353.75
  4. Step 4: Simplify right side
    9,013.71x = 99,291,729.71
  5. Step 5: Solve for x
    x = 99,291,729.71/9,013.71
  6. Step 6: Final answer
    x = 11,015.63

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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.