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Finding the Fourth Proportional to 16,090.32, 22,206 and 9,017.40

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Solution

The fourth proportional to 16,090.32, 22,206 and 9,017.40 is: 12,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.32 : 22,206 = 9,017.40 : x
  2. Step 2: Convert to fraction form
    16,090.32/22,206 = 9,017.40/x
  3. Step 3: Cross multiply
    16,090.32x = 22,206 × 9,017.40
  4. Step 4: Simplify right side
    16,090.32x = 200,240,384.40
  5. Step 5: Solve for x
    x = 200,240,384.40/16,090.32
  6. Step 6: Final answer
    x = 12,444.77

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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.