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Finding the Fourth Proportional to 9,227.71, 13,820.68 and 7,566.94

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Solution

The fourth proportional to 9,227.71, 13,820.68 and 7,566.94 is: 11,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.71 : 13,820.68 = 7,566.94 : x
  2. Step 2: Convert to fraction form
    9,227.71/13,820.68 = 7,566.94/x
  3. Step 3: Cross multiply
    9,227.71x = 13,820.68 × 7,566.94
  4. Step 4: Simplify right side
    9,227.71x = 104,580,256.32
  5. Step 5: Solve for x
    x = 104,580,256.32/9,227.71
  6. Step 6: Final answer
    x = 11,333.28

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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.