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Finding the Fourth Proportional to 12,305.72, 16,971.18 and 7,522.04

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Solution

The fourth proportional to 12,305.72, 16,971.18 and 7,522.04 is: 10,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.72 : 16,971.18 = 7,522.04 : x
  2. Step 2: Convert to fraction form
    12,305.72/16,971.18 = 7,522.04/x
  3. Step 3: Cross multiply
    12,305.72x = 16,971.18 × 7,522.04
  4. Step 4: Simplify right side
    12,305.72x = 127,657,894.81
  5. Step 5: Solve for x
    x = 127,657,894.81/12,305.72
  6. Step 6: Final answer
    x = 10,373.87

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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.