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Finding the Fourth Proportional to 9,585.54, 14,359.17 and 7,614.51

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Solution

The fourth proportional to 9,585.54, 14,359.17 and 7,614.51 is: 11,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.54 : 14,359.17 = 7,614.51 : x
  2. Step 2: Convert to fraction form
    9,585.54/14,359.17 = 7,614.51/x
  3. Step 3: Cross multiply
    9,585.54x = 14,359.17 × 7,614.51
  4. Step 4: Simplify right side
    9,585.54x = 109,338,043.56
  5. Step 5: Solve for x
    x = 109,338,043.56/9,585.54
  6. Step 6: Final answer
    x = 11,406.56

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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.