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Finding the Fourth Proportional to 7,783.26, 11,606.34 and 7,713.06

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Solution

The fourth proportional to 7,783.26, 11,606.34 and 7,713.06 is: 11,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.26 : 11,606.34 = 7,713.06 : x
  2. Step 2: Convert to fraction form
    7,783.26/11,606.34 = 7,713.06/x
  3. Step 3: Cross multiply
    7,783.26x = 11,606.34 × 7,713.06
  4. Step 4: Simplify right side
    7,783.26x = 89,520,396.80
  5. Step 5: Solve for x
    x = 89,520,396.80/7,783.26
  6. Step 6: Final answer
    x = 11,501.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.