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Finding the Fourth Proportional to 9,245, 12,758.10 and 5,053.24

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Solution

The fourth proportional to 9,245, 12,758.10 and 5,053.24 is: 6,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245 : 12,758.10 = 5,053.24 : x
  2. Step 2: Convert to fraction form
    9,245/12,758.10 = 5,053.24/x
  3. Step 3: Cross multiply
    9,245x = 12,758.10 × 5,053.24
  4. Step 4: Simplify right side
    9,245x = 64,469,741.24
  5. Step 5: Solve for x
    x = 64,469,741.24/9,245
  6. Step 6: Final answer
    x = 6,973.47

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.