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Finding the Fourth Proportional to 9,807.56, 14,711.20 and 3,962.60

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Solution

The fourth proportional to 9,807.56, 14,711.20 and 3,962.60 is: 5,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.56 : 14,711.20 = 3,962.60 : x
  2. Step 2: Convert to fraction form
    9,807.56/14,711.20 = 3,962.60/x
  3. Step 3: Cross multiply
    9,807.56x = 14,711.20 × 3,962.60
  4. Step 4: Simplify right side
    9,807.56x = 58,294,601.12
  5. Step 5: Solve for x
    x = 58,294,601.12/9,807.56
  6. Step 6: Final answer
    x = 5,943.84

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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.