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Finding the Fourth Proportional to 10,825.51, 14,938.22 and 6,348.44

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Solution

The fourth proportional to 10,825.51, 14,938.22 and 6,348.44 is: 8,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.51 : 14,938.22 = 6,348.44 : x
  2. Step 2: Convert to fraction form
    10,825.51/14,938.22 = 6,348.44/x
  3. Step 3: Cross multiply
    10,825.51x = 14,938.22 × 6,348.44
  4. Step 4: Simplify right side
    10,825.51x = 94,834,393.38
  5. Step 5: Solve for x
    x = 94,834,393.38/10,825.51
  6. Step 6: Final answer
    x = 8,760.27

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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.