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Finding the Fourth Proportional to 7,606.31, 11,344.40 and 7,341.77

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Solution

The fourth proportional to 7,606.31, 11,344.40 and 7,341.77 is: 10,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.31 : 11,344.40 = 7,341.77 : x
  2. Step 2: Convert to fraction form
    7,606.31/11,344.40 = 7,341.77/x
  3. Step 3: Cross multiply
    7,606.31x = 11,344.40 × 7,341.77
  4. Step 4: Simplify right side
    7,606.31x = 83,288,036.07
  5. Step 5: Solve for x
    x = 83,288,036.07/7,606.31
  6. Step 6: Final answer
    x = 10,949.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.