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Finding the Fourth Proportional to 9,207.44, 12,706.44 and 5,483.60

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Solution

The fourth proportional to 9,207.44, 12,706.44 and 5,483.60 is: 7,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.44 : 12,706.44 = 5,483.60 : x
  2. Step 2: Convert to fraction form
    9,207.44/12,706.44 = 5,483.60/x
  3. Step 3: Cross multiply
    9,207.44x = 12,706.44 × 5,483.60
  4. Step 4: Simplify right side
    9,207.44x = 69,677,034.38
  5. Step 5: Solve for x
    x = 69,677,034.38/9,207.44
  6. Step 6: Final answer
    x = 7,567.47

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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.