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Finding the Fourth Proportional to 13,470.93, 18,589.14 and 7,502.49

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Solution

The fourth proportional to 13,470.93, 18,589.14 and 7,502.49 is: 10,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.93 : 18,589.14 = 7,502.49 : x
  2. Step 2: Convert to fraction form
    13,470.93/18,589.14 = 7,502.49/x
  3. Step 3: Cross multiply
    13,470.93x = 18,589.14 × 7,502.49
  4. Step 4: Simplify right side
    13,470.93x = 139,464,836.96
  5. Step 5: Solve for x
    x = 139,464,836.96/13,470.93
  6. Step 6: Final answer
    x = 10,353.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.