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Finding the Fourth Proportional to 7,197.02, 9,934.08 and 4,213.52

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Solution

The fourth proportional to 7,197.02, 9,934.08 and 4,213.52 is: 5,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.02 : 9,934.08 = 4,213.52 : x
  2. Step 2: Convert to fraction form
    7,197.02/9,934.08 = 4,213.52/x
  3. Step 3: Cross multiply
    7,197.02x = 9,934.08 × 4,213.52
  4. Step 4: Simplify right side
    7,197.02x = 41,857,444.76
  5. Step 5: Solve for x
    x = 41,857,444.76/7,197.02
  6. Step 6: Final answer
    x = 5,815.94

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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.