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Finding the Fourth Proportional to 9,097.84, 13,660.08 and 7,957.36

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Solution

The fourth proportional to 9,097.84, 13,660.08 and 7,957.36 is: 11,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.84 : 13,660.08 = 7,957.36 : x
  2. Step 2: Convert to fraction form
    9,097.84/13,660.08 = 7,957.36/x
  3. Step 3: Cross multiply
    9,097.84x = 13,660.08 × 7,957.36
  4. Step 4: Simplify right side
    9,097.84x = 108,698,174.19
  5. Step 5: Solve for x
    x = 108,698,174.19/9,097.84
  6. Step 6: Final answer
    x = 11,947.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.