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Finding the Fourth Proportional to 9,871.63, 14,807.46 and 4,936.30

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Solution

The fourth proportional to 9,871.63, 14,807.46 and 4,936.30 is: 7,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.63 : 14,807.46 = 4,936.30 : x
  2. Step 2: Convert to fraction form
    9,871.63/14,807.46 = 4,936.30/x
  3. Step 3: Cross multiply
    9,871.63x = 14,807.46 × 4,936.30
  4. Step 4: Simplify right side
    9,871.63x = 73,094,046.29
  5. Step 5: Solve for x
    x = 73,094,046.29/9,871.63
  6. Step 6: Final answer
    x = 7,404.46

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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.