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Finding the Fourth Proportional to 9,751.70, 14,618.31 and 6,005.78

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Solution

The fourth proportional to 9,751.70, 14,618.31 and 6,005.78 is: 9,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.70 : 14,618.31 = 6,005.78 : x
  2. Step 2: Convert to fraction form
    9,751.70/14,618.31 = 6,005.78/x
  3. Step 3: Cross multiply
    9,751.70x = 14,618.31 × 6,005.78
  4. Step 4: Simplify right side
    9,751.70x = 87,794,280.74
  5. Step 5: Solve for x
    x = 87,794,280.74/9,751.70
  6. Step 6: Final answer
    x = 9,002.98

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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.