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Finding the Fourth Proportional to 16,570.20, 22,868.64 and 9,497.88

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Solution

The fourth proportional to 16,570.20, 22,868.64 and 9,497.88 is: 13,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.20 : 22,868.64 = 9,497.88 : x
  2. Step 2: Convert to fraction form
    16,570.20/22,868.64 = 9,497.88/x
  3. Step 3: Cross multiply
    16,570.20x = 22,868.64 × 9,497.88
  4. Step 4: Simplify right side
    16,570.20x = 217,203,598.48
  5. Step 5: Solve for x
    x = 217,203,598.48/16,570.20
  6. Step 6: Final answer
    x = 13,108.09

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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.