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Finding the Fourth Proportional to 6,407.44, 8,830.44 and 5,224.72

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Solution

The fourth proportional to 6,407.44, 8,830.44 and 5,224.72 is: 7,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 8,830.44 = 5,224.72 : x
  2. Step 2: Convert to fraction form
    6,407.44/8,830.44 = 5,224.72/x
  3. Step 3: Cross multiply
    6,407.44x = 8,830.44 × 5,224.72
  4. Step 4: Simplify right side
    6,407.44x = 46,136,576.48
  5. Step 5: Solve for x
    x = 46,136,576.48/6,407.44
  6. Step 6: Final answer
    x = 7,200.47

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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.