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Finding the Fourth Proportional to 16,038.84, 22,126.38 and 9,411

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Solution

The fourth proportional to 16,038.84, 22,126.38 and 9,411 is: 12,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.84 : 22,126.38 = 9,411 : x
  2. Step 2: Convert to fraction form
    16,038.84/22,126.38 = 9,411/x
  3. Step 3: Cross multiply
    16,038.84x = 22,126.38 × 9,411
  4. Step 4: Simplify right side
    16,038.84x = 208,231,362.18
  5. Step 5: Solve for x
    x = 208,231,362.18/16,038.84
  6. Step 6: Final answer
    x = 12,982.94

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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.