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Finding the Fourth Proportional to 16,570.77, 22,868.49 and 9,497.17

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Solution

The fourth proportional to 16,570.77, 22,868.49 and 9,497.17 is: 13,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.77 : 22,868.49 = 9,497.17 : x
  2. Step 2: Convert to fraction form
    16,570.77/22,868.49 = 9,497.17/x
  3. Step 3: Cross multiply
    16,570.77x = 22,868.49 × 9,497.17
  4. Step 4: Simplify right side
    16,570.77x = 217,185,937.17
  5. Step 5: Solve for x
    x = 217,185,937.17/16,570.77
  6. Step 6: Final answer
    x = 13,106.57

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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.