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Finding the Fourth Proportional to 9,865.40, 14,794.14 and 4,667.63

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Solution

The fourth proportional to 9,865.40, 14,794.14 and 4,667.63 is: 6,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.40 : 14,794.14 = 4,667.63 : x
  2. Step 2: Convert to fraction form
    9,865.40/14,794.14 = 4,667.63/x
  3. Step 3: Cross multiply
    9,865.40x = 14,794.14 × 4,667.63
  4. Step 4: Simplify right side
    9,865.40x = 69,053,515.22
  5. Step 5: Solve for x
    x = 69,053,515.22/9,865.40
  6. Step 6: Final answer
    x = 6,999.57

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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.