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Finding the Fourth Proportional to 9,786.88, 13,498.14 and 7,133.32

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Solution

The fourth proportional to 9,786.88, 13,498.14 and 7,133.32 is: 9,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.88 : 13,498.14 = 7,133.32 : x
  2. Step 2: Convert to fraction form
    9,786.88/13,498.14 = 7,133.32/x
  3. Step 3: Cross multiply
    9,786.88x = 13,498.14 × 7,133.32
  4. Step 4: Simplify right side
    9,786.88x = 96,286,552.02
  5. Step 5: Solve for x
    x = 96,286,552.02/9,786.88
  6. Step 6: Final answer
    x = 9,838.33

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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.