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Finding the Fourth Proportional to 6,505.60, 9,750.40 and 4,425.60

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Solution

The fourth proportional to 6,505.60, 9,750.40 and 4,425.60 is: 6,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.60 : 9,750.40 = 4,425.60 : x
  2. Step 2: Convert to fraction form
    6,505.60/9,750.40 = 4,425.60/x
  3. Step 3: Cross multiply
    6,505.60x = 9,750.40 × 4,425.60
  4. Step 4: Simplify right side
    6,505.60x = 43,151,370.24
  5. Step 5: Solve for x
    x = 43,151,370.24/6,505.60
  6. Step 6: Final answer
    x = 6,632.96

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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.