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Finding the Fourth Proportional to 9,763.80, 14,646.72 and 2,838.30

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Solution

The fourth proportional to 9,763.80, 14,646.72 and 2,838.30 is: 4,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.80 : 14,646.72 = 2,838.30 : x
  2. Step 2: Convert to fraction form
    9,763.80/14,646.72 = 2,838.30/x
  3. Step 3: Cross multiply
    9,763.80x = 14,646.72 × 2,838.30
  4. Step 4: Simplify right side
    9,763.80x = 41,571,785.38
  5. Step 5: Solve for x
    x = 41,571,785.38/9,763.80
  6. Step 6: Final answer
    x = 4,257.75

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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.