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Finding the Fourth Proportional to 16,424.69, 22,666.10 and 9,351.12

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Solution

The fourth proportional to 16,424.69, 22,666.10 and 9,351.12 is: 12,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.69 : 22,666.10 = 9,351.12 : x
  2. Step 2: Convert to fraction form
    16,424.69/22,666.10 = 9,351.12/x
  3. Step 3: Cross multiply
    16,424.69x = 22,666.10 × 9,351.12
  4. Step 4: Simplify right side
    16,424.69x = 211,953,421.03
  5. Step 5: Solve for x
    x = 211,953,421.03/16,424.69
  6. Step 6: Final answer
    x = 12,904.56

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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.