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Finding the Fourth Proportional to 9,402.71, 14,076.39 and 6,948.48

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Solution

The fourth proportional to 9,402.71, 14,076.39 and 6,948.48 is: 10,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.71 : 14,076.39 = 6,948.48 : x
  2. Step 2: Convert to fraction form
    9,402.71/14,076.39 = 6,948.48/x
  3. Step 3: Cross multiply
    9,402.71x = 14,076.39 × 6,948.48
  4. Step 4: Simplify right side
    9,402.71x = 97,809,514.39
  5. Step 5: Solve for x
    x = 97,809,514.39/9,402.71
  6. Step 6: Final answer
    x = 10,402.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.