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Finding the Fourth Proportional to 9,404.64, 14,106.96 and 2,479.14

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Solution

The fourth proportional to 9,404.64, 14,106.96 and 2,479.14 is: 3,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.64 : 14,106.96 = 2,479.14 : x
  2. Step 2: Convert to fraction form
    9,404.64/14,106.96 = 2,479.14/x
  3. Step 3: Cross multiply
    9,404.64x = 14,106.96 × 2,479.14
  4. Step 4: Simplify right side
    9,404.64x = 34,973,128.81
  5. Step 5: Solve for x
    x = 34,973,128.81/9,404.64
  6. Step 6: Final answer
    x = 3,718.71

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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.