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Finding the Fourth Proportional to 9,313.76, 12,853.22 and 5,065.08

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Solution

The fourth proportional to 9,313.76, 12,853.22 and 5,065.08 is: 6,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.76 : 12,853.22 = 5,065.08 : x
  2. Step 2: Convert to fraction form
    9,313.76/12,853.22 = 5,065.08/x
  3. Step 3: Cross multiply
    9,313.76x = 12,853.22 × 5,065.08
  4. Step 4: Simplify right side
    9,313.76x = 65,102,587.56
  5. Step 5: Solve for x
    x = 65,102,587.56/9,313.76
  6. Step 6: Final answer
    x = 6,989.94

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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.