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Finding the Fourth Proportional to 6,277.86, 9,424.98 and 5,310.11

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Solution

The fourth proportional to 6,277.86, 9,424.98 and 5,310.11 is: 7,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.86 : 9,424.98 = 5,310.11 : x
  2. Step 2: Convert to fraction form
    6,277.86/9,424.98 = 5,310.11/x
  3. Step 3: Cross multiply
    6,277.86x = 9,424.98 × 5,310.11
  4. Step 4: Simplify right side
    6,277.86x = 50,047,633.42
  5. Step 5: Solve for x
    x = 50,047,633.42/6,277.86
  6. Step 6: Final answer
    x = 7,972.08

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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.