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Finding the Fourth Proportional to 6,445.60, 9,668.40 and 5,754.40

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Solution

The fourth proportional to 6,445.60, 9,668.40 and 5,754.40 is: 8,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.60 : 9,668.40 = 5,754.40 : x
  2. Step 2: Convert to fraction form
    6,445.60/9,668.40 = 5,754.40/x
  3. Step 3: Cross multiply
    6,445.60x = 9,668.40 × 5,754.40
  4. Step 4: Simplify right side
    6,445.60x = 55,635,840.96
  5. Step 5: Solve for x
    x = 55,635,840.96/6,445.60
  6. Step 6: Final answer
    x = 8,631.60

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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.