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Finding the Fourth Proportional to 9,808.75, 14,713.26 and 5,434.75

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Solution

The fourth proportional to 9,808.75, 14,713.26 and 5,434.75 is: 8,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.75 : 14,713.26 = 5,434.75 : x
  2. Step 2: Convert to fraction form
    9,808.75/14,713.26 = 5,434.75/x
  3. Step 3: Cross multiply
    9,808.75x = 14,713.26 × 5,434.75
  4. Step 4: Simplify right side
    9,808.75x = 79,962,889.79
  5. Step 5: Solve for x
    x = 79,962,889.79/9,808.75
  6. Step 6: Final answer
    x = 8,152.20

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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.