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Finding the Fourth Proportional to 12,324.51, 18,472.14 and 5,737.05

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Solution

The fourth proportional to 12,324.51, 18,472.14 and 5,737.05 is: 8,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.51 : 18,472.14 = 5,737.05 : x
  2. Step 2: Convert to fraction form
    12,324.51/18,472.14 = 5,737.05/x
  3. Step 3: Cross multiply
    12,324.51x = 18,472.14 × 5,737.05
  4. Step 4: Simplify right side
    12,324.51x = 105,975,590.79
  5. Step 5: Solve for x
    x = 105,975,590.79/12,324.51
  6. Step 6: Final answer
    x = 8,598.77

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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.