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Finding the Fourth Proportional to 6,378.56, 8,799.76 and 4,606.24

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Solution

The fourth proportional to 6,378.56, 8,799.76 and 4,606.24 is: 6,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.56 : 8,799.76 = 4,606.24 : x
  2. Step 2: Convert to fraction form
    6,378.56/8,799.76 = 4,606.24/x
  3. Step 3: Cross multiply
    6,378.56x = 8,799.76 × 4,606.24
  4. Step 4: Simplify right side
    6,378.56x = 40,533,806.50
  5. Step 5: Solve for x
    x = 40,533,806.50/6,378.56
  6. Step 6: Final answer
    x = 6,354.70

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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.