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Finding the Fourth Proportional to 6,225.65, 9,332.34 and 3,446.43

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Solution

The fourth proportional to 6,225.65, 9,332.34 and 3,446.43 is: 5,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.65 : 9,332.34 = 3,446.43 : x
  2. Step 2: Convert to fraction form
    6,225.65/9,332.34 = 3,446.43/x
  3. Step 3: Cross multiply
    6,225.65x = 9,332.34 × 3,446.43
  4. Step 4: Simplify right side
    6,225.65x = 32,163,256.55
  5. Step 5: Solve for x
    x = 32,163,256.55/6,225.65
  6. Step 6: Final answer
    x = 5,166.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.