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Finding the Fourth Proportional to 9,768.22, 13,473.16 and 6,358.93

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Solution

The fourth proportional to 9,768.22, 13,473.16 and 6,358.93 is: 8,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.22 : 13,473.16 = 6,358.93 : x
  2. Step 2: Convert to fraction form
    9,768.22/13,473.16 = 6,358.93/x
  3. Step 3: Cross multiply
    9,768.22x = 13,473.16 × 6,358.93
  4. Step 4: Simplify right side
    9,768.22x = 85,674,881.32
  5. Step 5: Solve for x
    x = 85,674,881.32/9,768.22
  6. Step 6: Final answer
    x = 8,770.78

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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.