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Finding the Fourth Proportional to 16,347.97, 24,530.22 and 7,462.30

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Solution

The fourth proportional to 16,347.97, 24,530.22 and 7,462.30 is: 11,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.97 : 24,530.22 = 7,462.30 : x
  2. Step 2: Convert to fraction form
    16,347.97/24,530.22 = 7,462.30/x
  3. Step 3: Cross multiply
    16,347.97x = 24,530.22 × 7,462.30
  4. Step 4: Simplify right side
    16,347.97x = 183,051,860.71
  5. Step 5: Solve for x
    x = 183,051,860.71/16,347.97
  6. Step 6: Final answer
    x = 11,197.22

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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.