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Finding the Fourth Proportional to 6,445.40, 9,668.10 and 4,256.60

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Solution

The fourth proportional to 6,445.40, 9,668.10 and 4,256.60 is: 6,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.40 : 9,668.10 = 4,256.60 : x
  2. Step 2: Convert to fraction form
    6,445.40/9,668.10 = 4,256.60/x
  3. Step 3: Cross multiply
    6,445.40x = 9,668.10 × 4,256.60
  4. Step 4: Simplify right side
    6,445.40x = 41,153,234.46
  5. Step 5: Solve for x
    x = 41,153,234.46/6,445.40
  6. Step 6: Final answer
    x = 6,384.90

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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.