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Finding the Fourth Proportional to 9,892.28, 14,836.83 and 3,655.24

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Solution

The fourth proportional to 9,892.28, 14,836.83 and 3,655.24 is: 5,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.28 : 14,836.83 = 3,655.24 : x
  2. Step 2: Convert to fraction form
    9,892.28/14,836.83 = 3,655.24/x
  3. Step 3: Cross multiply
    9,892.28x = 14,836.83 × 3,655.24
  4. Step 4: Simplify right side
    9,892.28x = 54,232,137.40
  5. Step 5: Solve for x
    x = 54,232,137.40/9,892.28
  6. Step 6: Final answer
    x = 5,482.27

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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.