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Finding the Fourth Proportional to 9,768.04, 14,653.50 and 2,841.64

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Solution

The fourth proportional to 9,768.04, 14,653.50 and 2,841.64 is: 4,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.04 : 14,653.50 = 2,841.64 : x
  2. Step 2: Convert to fraction form
    9,768.04/14,653.50 = 2,841.64/x
  3. Step 3: Cross multiply
    9,768.04x = 14,653.50 × 2,841.64
  4. Step 4: Simplify right side
    9,768.04x = 41,639,971.74
  5. Step 5: Solve for x
    x = 41,639,971.74/9,768.04
  6. Step 6: Final answer
    x = 4,262.88

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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.