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Finding the Fourth Proportional to 7,446.65, 10,273.10 and 4,613.27

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Solution

The fourth proportional to 7,446.65, 10,273.10 and 4,613.27 is: 6,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.65 : 10,273.10 = 4,613.27 : x
  2. Step 2: Convert to fraction form
    7,446.65/10,273.10 = 4,613.27/x
  3. Step 3: Cross multiply
    7,446.65x = 10,273.10 × 4,613.27
  4. Step 4: Simplify right side
    7,446.65x = 47,392,509.61
  5. Step 5: Solve for x
    x = 47,392,509.61/7,446.65
  6. Step 6: Final answer
    x = 6,364.28

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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.