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Finding the Fourth Proportional to 16,574.08, 22,869.84 and 9,122.08

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Solution

The fourth proportional to 16,574.08, 22,869.84 and 9,122.08 is: 12,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.08 : 22,869.84 = 9,122.08 : x
  2. Step 2: Convert to fraction form
    16,574.08/22,869.84 = 9,122.08/x
  3. Step 3: Cross multiply
    16,574.08x = 22,869.84 × 9,122.08
  4. Step 4: Simplify right side
    16,574.08x = 208,620,510.07
  5. Step 5: Solve for x
    x = 208,620,510.07/16,574.08
  6. Step 6: Final answer
    x = 12,587.15

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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.