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Finding the Fourth Proportional to 16,417.76, 24,627.14 and 6,422.12

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Solution

The fourth proportional to 16,417.76, 24,627.14 and 6,422.12 is: 9,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.76 : 24,627.14 = 6,422.12 : x
  2. Step 2: Convert to fraction form
    16,417.76/24,627.14 = 6,422.12/x
  3. Step 3: Cross multiply
    16,417.76x = 24,627.14 × 6,422.12
  4. Step 4: Simplify right side
    16,417.76x = 158,158,293.09
  5. Step 5: Solve for x
    x = 158,158,293.09/16,417.76
  6. Step 6: Final answer
    x = 9,633.37

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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.