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Finding the Fourth Proportional to 9,807.84, 14,722.28 and 3,968.28

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Solution

The fourth proportional to 9,807.84, 14,722.28 and 3,968.28 is: 5,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.84 : 14,722.28 = 3,968.28 : x
  2. Step 2: Convert to fraction form
    9,807.84/14,722.28 = 3,968.28/x
  3. Step 3: Cross multiply
    9,807.84x = 14,722.28 × 3,968.28
  4. Step 4: Simplify right side
    9,807.84x = 58,422,129.28
  5. Step 5: Solve for x
    x = 58,422,129.28/9,807.84
  6. Step 6: Final answer
    x = 5,956.68

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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.