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Finding the Fourth Proportional to 9,708.92, 13,396.01 and 7,051.71

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Solution

The fourth proportional to 9,708.92, 13,396.01 and 7,051.71 is: 9,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.92 : 13,396.01 = 7,051.71 : x
  2. Step 2: Convert to fraction form
    9,708.92/13,396.01 = 7,051.71/x
  3. Step 3: Cross multiply
    9,708.92x = 13,396.01 × 7,051.71
  4. Step 4: Simplify right side
    9,708.92x = 94,464,777.68
  5. Step 5: Solve for x
    x = 94,464,777.68/9,708.92
  6. Step 6: Final answer
    x = 9,729.69

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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.