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Finding the Fourth Proportional to 6,306.56, 8,693.12 and 4,809.60

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Solution

The fourth proportional to 6,306.56, 8,693.12 and 4,809.60 is: 6,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.56 : 8,693.12 = 4,809.60 : x
  2. Step 2: Convert to fraction form
    6,306.56/8,693.12 = 4,809.60/x
  3. Step 3: Cross multiply
    6,306.56x = 8,693.12 × 4,809.60
  4. Step 4: Simplify right side
    6,306.56x = 41,810,429.95
  5. Step 5: Solve for x
    x = 41,810,429.95/6,306.56
  6. Step 6: Final answer
    x = 6,629.67

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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.