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Finding the Fourth Proportional to 6,463.86, 8,914.65 and 5,460.50

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Solution

The fourth proportional to 6,463.86, 8,914.65 and 5,460.50 is: 7,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.86 : 8,914.65 = 5,460.50 : x
  2. Step 2: Convert to fraction form
    6,463.86/8,914.65 = 5,460.50/x
  3. Step 3: Cross multiply
    6,463.86x = 8,914.65 × 5,460.50
  4. Step 4: Simplify right side
    6,463.86x = 48,678,401.75
  5. Step 5: Solve for x
    x = 48,678,401.75/6,463.86
  6. Step 6: Final answer
    x = 7,530.86

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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.