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Finding the Fourth Proportional to 7,530.91, 10,392.92 and 4,546.16

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Solution

The fourth proportional to 7,530.91, 10,392.92 and 4,546.16 is: 6,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.91 : 10,392.92 = 4,546.16 : x
  2. Step 2: Convert to fraction form
    7,530.91/10,392.92 = 4,546.16/x
  3. Step 3: Cross multiply
    7,530.91x = 10,392.92 × 4,546.16
  4. Step 4: Simplify right side
    7,530.91x = 47,247,877.19
  5. Step 5: Solve for x
    x = 47,247,877.19/7,530.91
  6. Step 6: Final answer
    x = 6,273.86

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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.