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Finding the Fourth Proportional to 6,297.95, 9,437.65 and 5,605.94

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Solution

The fourth proportional to 6,297.95, 9,437.65 and 5,605.94 is: 8,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.95 : 9,437.65 = 5,605.94 : x
  2. Step 2: Convert to fraction form
    6,297.95/9,437.65 = 5,605.94/x
  3. Step 3: Cross multiply
    6,297.95x = 9,437.65 × 5,605.94
  4. Step 4: Simplify right side
    6,297.95x = 52,906,909.22
  5. Step 5: Solve for x
    x = 52,906,909.22/6,297.95
  6. Step 6: Final answer
    x = 8,400.65

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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.