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Finding the Fourth Proportional to 7,357, 10,152.78 and 4,213.16

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Solution

The fourth proportional to 7,357, 10,152.78 and 4,213.16 is: 5,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357 : 10,152.78 = 4,213.16 : x
  2. Step 2: Convert to fraction form
    7,357/10,152.78 = 4,213.16/x
  3. Step 3: Cross multiply
    7,357x = 10,152.78 × 4,213.16
  4. Step 4: Simplify right side
    7,357x = 42,775,286.58
  5. Step 5: Solve for x
    x = 42,775,286.58/7,357
  6. Step 6: Final answer
    x = 5,814.23

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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.