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Finding the Fourth Proportional to 12,324.51, 17,007.27 and 7,552.40

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Solution

The fourth proportional to 12,324.51, 17,007.27 and 7,552.40 is: 10,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.51 : 17,007.27 = 7,552.40 : x
  2. Step 2: Convert to fraction form
    12,324.51/17,007.27 = 7,552.40/x
  3. Step 3: Cross multiply
    12,324.51x = 17,007.27 × 7,552.40
  4. Step 4: Simplify right side
    12,324.51x = 128,445,620.91
  5. Step 5: Solve for x
    x = 128,445,620.91/12,324.51
  6. Step 6: Final answer
    x = 10,421.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.