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Finding the Fourth Proportional to 9,243.44, 12,756.08 and 5,051.60

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Solution

The fourth proportional to 9,243.44, 12,756.08 and 5,051.60 is: 6,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.44 : 12,756.08 = 5,051.60 : x
  2. Step 2: Convert to fraction form
    9,243.44/12,756.08 = 5,051.60/x
  3. Step 3: Cross multiply
    9,243.44x = 12,756.08 × 5,051.60
  4. Step 4: Simplify right side
    9,243.44x = 64,438,613.73
  5. Step 5: Solve for x
    x = 64,438,613.73/9,243.44
  6. Step 6: Final answer
    x = 6,971.28

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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.