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Finding the Fourth Proportional to 13,291.40, 19,958.70 and 9,619.40

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Solution

The fourth proportional to 13,291.40, 19,958.70 and 9,619.40 is: 14,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.40 : 19,958.70 = 9,619.40 : x
  2. Step 2: Convert to fraction form
    13,291.40/19,958.70 = 9,619.40/x
  3. Step 3: Cross multiply
    13,291.40x = 19,958.70 × 9,619.40
  4. Step 4: Simplify right side
    13,291.40x = 191,990,718.78
  5. Step 5: Solve for x
    x = 191,990,718.78/13,291.40
  6. Step 6: Final answer
    x = 14,444.73

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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.