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Finding the Fourth Proportional to 13,032.16, 17,984.16 and 7,366.82

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Solution

The fourth proportional to 13,032.16, 17,984.16 and 7,366.82 is: 10,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.16 : 17,984.16 = 7,366.82 : x
  2. Step 2: Convert to fraction form
    13,032.16/17,984.16 = 7,366.82/x
  3. Step 3: Cross multiply
    13,032.16x = 17,984.16 × 7,366.82
  4. Step 4: Simplify right side
    13,032.16x = 132,485,979.65
  5. Step 5: Solve for x
    x = 132,485,979.65/13,032.16
  6. Step 6: Final answer
    x = 10,166.08

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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.