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Finding the Fourth Proportional to 11,792.68, 16,267.14 and 7,369

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Solution

The fourth proportional to 11,792.68, 16,267.14 and 7,369 is: 10,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.68 : 16,267.14 = 7,369 : x
  2. Step 2: Convert to fraction form
    11,792.68/16,267.14 = 7,369/x
  3. Step 3: Cross multiply
    11,792.68x = 16,267.14 × 7,369
  4. Step 4: Simplify right side
    11,792.68x = 119,872,554.66
  5. Step 5: Solve for x
    x = 119,872,554.66/11,792.68
  6. Step 6: Final answer
    x = 10,165.00

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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.