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Finding the Fourth Proportional to 9,760.04, 14,641.50 and 2,833.64

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Solution

The fourth proportional to 9,760.04, 14,641.50 and 2,833.64 is: 4,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.04 : 14,641.50 = 2,833.64 : x
  2. Step 2: Convert to fraction form
    9,760.04/14,641.50 = 2,833.64/x
  3. Step 3: Cross multiply
    9,760.04x = 14,641.50 × 2,833.64
  4. Step 4: Simplify right side
    9,760.04x = 41,488,740.06
  5. Step 5: Solve for x
    x = 41,488,740.06/9,760.04
  6. Step 6: Final answer
    x = 4,250.88

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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.