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Finding the Fourth Proportional to 9,896.70, 14,840.70 and 2,969.58

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Solution

The fourth proportional to 9,896.70, 14,840.70 and 2,969.58 is: 4,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.70 : 14,840.70 = 2,969.58 : x
  2. Step 2: Convert to fraction form
    9,896.70/14,840.70 = 2,969.58/x
  3. Step 3: Cross multiply
    9,896.70x = 14,840.70 × 2,969.58
  4. Step 4: Simplify right side
    9,896.70x = 44,070,645.91
  5. Step 5: Solve for x
    x = 44,070,645.91/9,896.70
  6. Step 6: Final answer
    x = 4,453.06

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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.