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Finding the Fourth Proportional to 9,952.16, 13,733.79 and 5,475.65

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Solution

The fourth proportional to 9,952.16, 13,733.79 and 5,475.65 is: 7,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.16 : 13,733.79 = 5,475.65 : x
  2. Step 2: Convert to fraction form
    9,952.16/13,733.79 = 5,475.65/x
  3. Step 3: Cross multiply
    9,952.16x = 13,733.79 × 5,475.65
  4. Step 4: Simplify right side
    9,952.16x = 75,201,427.21
  5. Step 5: Solve for x
    x = 75,201,427.21/9,952.16
  6. Step 6: Final answer
    x = 7,556.29

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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.