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Finding the Fourth Proportional to 6,295.95, 9,443.90 and 1,914.66

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Solution

The fourth proportional to 6,295.95, 9,443.90 and 1,914.66 is: 2,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.95 : 9,443.90 = 1,914.66 : x
  2. Step 2: Convert to fraction form
    6,295.95/9,443.90 = 1,914.66/x
  3. Step 3: Cross multiply
    6,295.95x = 9,443.90 × 1,914.66
  4. Step 4: Simplify right side
    6,295.95x = 18,081,848.00
  5. Step 5: Solve for x
    x = 18,081,848.00/6,295.95
  6. Step 6: Final answer
    x = 2,871.98

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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.