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Finding the Fourth Proportional to 9,970.83, 14,956.26 and 9,361.89

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Solution

The fourth proportional to 9,970.83, 14,956.26 and 9,361.89 is: 14,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.83 : 14,956.26 = 9,361.89 : x
  2. Step 2: Convert to fraction form
    9,970.83/14,956.26 = 9,361.89/x
  3. Step 3: Cross multiply
    9,970.83x = 14,956.26 × 9,361.89
  4. Step 4: Simplify right side
    9,970.83x = 140,018,860.93
  5. Step 5: Solve for x
    x = 140,018,860.93/9,970.83
  6. Step 6: Final answer
    x = 14,042.85

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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.