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Finding the Fourth Proportional to 9,482.94, 14,224.01 and 3,639.20

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Solution

The fourth proportional to 9,482.94, 14,224.01 and 3,639.20 is: 5,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.94 : 14,224.01 = 3,639.20 : x
  2. Step 2: Convert to fraction form
    9,482.94/14,224.01 = 3,639.20/x
  3. Step 3: Cross multiply
    9,482.94x = 14,224.01 × 3,639.20
  4. Step 4: Simplify right side
    9,482.94x = 51,763,927.88
  5. Step 5: Solve for x
    x = 51,763,927.88/9,482.94
  6. Step 6: Final answer
    x = 5,458.64

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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.