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Finding the Fourth Proportional to 16,410.16, 22,645.16 and 9,336.40

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Solution

The fourth proportional to 16,410.16, 22,645.16 and 9,336.40 is: 12,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.16 : 22,645.16 = 9,336.40 : x
  2. Step 2: Convert to fraction form
    16,410.16/22,645.16 = 9,336.40/x
  3. Step 3: Cross multiply
    16,410.16x = 22,645.16 × 9,336.40
  4. Step 4: Simplify right side
    16,410.16x = 211,424,271.82
  5. Step 5: Solve for x
    x = 211,424,271.82/16,410.16
  6. Step 6: Final answer
    x = 12,883.74

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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.