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Finding the Fourth Proportional to 9,675.78, 13,352.22 and 5,484.84

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Solution

The fourth proportional to 9,675.78, 13,352.22 and 5,484.84 is: 7,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.78 : 13,352.22 = 5,484.84 : x
  2. Step 2: Convert to fraction form
    9,675.78/13,352.22 = 5,484.84/x
  3. Step 3: Cross multiply
    9,675.78x = 13,352.22 × 5,484.84
  4. Step 4: Simplify right side
    9,675.78x = 73,234,790.34
  5. Step 5: Solve for x
    x = 73,234,790.34/9,675.78
  6. Step 6: Final answer
    x = 7,568.88

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Half scale
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Double scale
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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.