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Finding the Fourth Proportional to 9,760.08, 14,640.12 and 7,803.12

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Solution

The fourth proportional to 9,760.08, 14,640.12 and 7,803.12 is: 11,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.08 : 14,640.12 = 7,803.12 : x
  2. Step 2: Convert to fraction form
    9,760.08/14,640.12 = 7,803.12/x
  3. Step 3: Cross multiply
    9,760.08x = 14,640.12 × 7,803.12
  4. Step 4: Simplify right side
    9,760.08x = 114,238,613.17
  5. Step 5: Solve for x
    x = 114,238,613.17/9,760.08
  6. Step 6: Final answer
    x = 11,704.68

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Half scale
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Double scale
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Similar ratio
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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.