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Finding the Fourth Proportional to 14,213.60, 19,612.96 and 7,923.68

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Solution

The fourth proportional to 14,213.60, 19,612.96 and 7,923.68 is: 10,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.60 : 19,612.96 = 7,923.68 : x
  2. Step 2: Convert to fraction form
    14,213.60/19,612.96 = 7,923.68/x
  3. Step 3: Cross multiply
    14,213.60x = 19,612.96 × 7,923.68
  4. Step 4: Simplify right side
    14,213.60x = 155,406,818.89
  5. Step 5: Solve for x
    x = 155,406,818.89/14,213.60
  6. Step 6: Final answer
    x = 10,933.67

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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.