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Finding the Fourth Proportional to 9,474.94, 14,224.74 and 6,368.77

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Solution

The fourth proportional to 9,474.94, 14,224.74 and 6,368.77 is: 9,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.94 : 14,224.74 = 6,368.77 : x
  2. Step 2: Convert to fraction form
    9,474.94/14,224.74 = 6,368.77/x
  3. Step 3: Cross multiply
    9,474.94x = 14,224.74 × 6,368.77
  4. Step 4: Simplify right side
    9,474.94x = 90,594,097.37
  5. Step 5: Solve for x
    x = 90,594,097.37/9,474.94
  6. Step 6: Final answer
    x = 9,561.44

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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.