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Finding the Fourth Proportional to 7,972.53, 11,957.19 and 7,577.35

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Solution

The fourth proportional to 7,972.53, 11,957.19 and 7,577.35 is: 11,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.53 : 11,957.19 = 7,577.35 : x
  2. Step 2: Convert to fraction form
    7,972.53/11,957.19 = 7,577.35/x
  3. Step 3: Cross multiply
    7,972.53x = 11,957.19 × 7,577.35
  4. Step 4: Simplify right side
    7,972.53x = 90,603,755.34
  5. Step 5: Solve for x
    x = 90,603,755.34/7,972.53
  6. Step 6: Final answer
    x = 11,364.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.