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Finding the Fourth Proportional to 16,574.16, 22,871.64 and 9,495.64

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Solution

The fourth proportional to 16,574.16, 22,871.64 and 9,495.64 is: 13,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.16 : 22,871.64 = 9,495.64 : x
  2. Step 2: Convert to fraction form
    16,574.16/22,871.64 = 9,495.64/x
  3. Step 3: Cross multiply
    16,574.16x = 22,871.64 × 9,495.64
  4. Step 4: Simplify right side
    16,574.16x = 217,180,859.65
  5. Step 5: Solve for x
    x = 217,180,859.65/16,574.16
  6. Step 6: Final answer
    x = 13,103.58

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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.