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Finding the Fourth Proportional to 9,804.68, 14,708.84 and 3,232.74

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Solution

The fourth proportional to 9,804.68, 14,708.84 and 3,232.74 is: 4,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.68 : 14,708.84 = 3,232.74 : x
  2. Step 2: Convert to fraction form
    9,804.68/14,708.84 = 3,232.74/x
  3. Step 3: Cross multiply
    9,804.68x = 14,708.84 × 3,232.74
  4. Step 4: Simplify right side
    9,804.68x = 47,549,855.42
  5. Step 5: Solve for x
    x = 47,549,855.42/9,804.68
  6. Step 6: Final answer
    x = 4,849.71

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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.