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Finding the Fourth Proportional to 13,212.60, 19,818.90 and 9,713.40

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Solution

The fourth proportional to 13,212.60, 19,818.90 and 9,713.40 is: 14,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.60 : 19,818.90 = 9,713.40 : x
  2. Step 2: Convert to fraction form
    13,212.60/19,818.90 = 9,713.40/x
  3. Step 3: Cross multiply
    13,212.60x = 19,818.90 × 9,713.40
  4. Step 4: Simplify right side
    13,212.60x = 192,508,903.26
  5. Step 5: Solve for x
    x = 192,508,903.26/13,212.60
  6. Step 6: Final answer
    x = 14,570.10

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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.