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Finding the Fourth Proportional to 9,807.40, 14,714.70 and 3,964.60

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Solution

The fourth proportional to 9,807.40, 14,714.70 and 3,964.60 is: 5,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.40 : 14,714.70 = 3,964.60 : x
  2. Step 2: Convert to fraction form
    9,807.40/14,714.70 = 3,964.60/x
  3. Step 3: Cross multiply
    9,807.40x = 14,714.70 × 3,964.60
  4. Step 4: Simplify right side
    9,807.40x = 58,337,899.62
  5. Step 5: Solve for x
    x = 58,337,899.62/9,807.40
  6. Step 6: Final answer
    x = 5,948.36

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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.