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Finding the Fourth Proportional to 9,313.41, 14,034.27 and 7,706.10

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Solution

The fourth proportional to 9,313.41, 14,034.27 and 7,706.10 is: 11,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.41 : 14,034.27 = 7,706.10 : x
  2. Step 2: Convert to fraction form
    9,313.41/14,034.27 = 7,706.10/x
  3. Step 3: Cross multiply
    9,313.41x = 14,034.27 × 7,706.10
  4. Step 4: Simplify right side
    9,313.41x = 108,149,488.05
  5. Step 5: Solve for x
    x = 108,149,488.05/9,313.41
  6. Step 6: Final answer
    x = 11,612.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.