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Finding the Fourth Proportional to 16,371.95, 22,592.07 and 9,297

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Solution

The fourth proportional to 16,371.95, 22,592.07 and 9,297 is: 12,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.95 : 22,592.07 = 9,297 : x
  2. Step 2: Convert to fraction form
    16,371.95/22,592.07 = 9,297/x
  3. Step 3: Cross multiply
    16,371.95x = 22,592.07 × 9,297
  4. Step 4: Simplify right side
    16,371.95x = 210,038,474.79
  5. Step 5: Solve for x
    x = 210,038,474.79/16,371.95
  6. Step 6: Final answer
    x = 12,829.17

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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.