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Finding the Fourth Proportional to 14,325.86, 19,769.37 and 7,952.08

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Solution

The fourth proportional to 14,325.86, 19,769.37 and 7,952.08 is: 10,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.86 : 19,769.37 = 7,952.08 : x
  2. Step 2: Convert to fraction form
    14,325.86/19,769.37 = 7,952.08/x
  3. Step 3: Cross multiply
    14,325.86x = 19,769.37 × 7,952.08
  4. Step 4: Simplify right side
    14,325.86x = 157,207,611.79
  5. Step 5: Solve for x
    x = 157,207,611.79/14,325.86
  6. Step 6: Final answer
    x = 10,973.69

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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.