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Finding the Fourth Proportional to 6,459.95, 8,930.86 and 5,463.05

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Solution

The fourth proportional to 6,459.95, 8,930.86 and 5,463.05 is: 7,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.95 : 8,930.86 = 5,463.05 : x
  2. Step 2: Convert to fraction form
    6,459.95/8,930.86 = 5,463.05/x
  3. Step 3: Cross multiply
    6,459.95x = 8,930.86 × 5,463.05
  4. Step 4: Simplify right side
    6,459.95x = 48,789,676.41
  5. Step 5: Solve for x
    x = 48,789,676.41/6,459.95
  6. Step 6: Final answer
    x = 7,552.64

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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.