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Finding the Fourth Proportional to 9,958.45, 13,746.92 and 7,089.03

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Solution

The fourth proportional to 9,958.45, 13,746.92 and 7,089.03 is: 9,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.45 : 13,746.92 = 7,089.03 : x
  2. Step 2: Convert to fraction form
    9,958.45/13,746.92 = 7,089.03/x
  3. Step 3: Cross multiply
    9,958.45x = 13,746.92 × 7,089.03
  4. Step 4: Simplify right side
    9,958.45x = 97,452,292.84
  5. Step 5: Solve for x
    x = 97,452,292.84/9,958.45
  6. Step 6: Final answer
    x = 9,785.89

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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.