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Finding the Fourth Proportional to 9,794.88, 14,667.30 and 5,407.44

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Solution

The fourth proportional to 9,794.88, 14,667.30 and 5,407.44 is: 8,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 14,667.30 = 5,407.44 : x
  2. Step 2: Convert to fraction form
    9,794.88/14,667.30 = 5,407.44/x
  3. Step 3: Cross multiply
    9,794.88x = 14,667.30 × 5,407.44
  4. Step 4: Simplify right side
    9,794.88x = 79,312,544.71
  5. Step 5: Solve for x
    x = 79,312,544.71/9,794.88
  6. Step 6: Final answer
    x = 8,097.35

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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.