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Finding the Fourth Proportional to 9,974.06, 14,873.07 and 9,885.20

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Solution

The fourth proportional to 9,974.06, 14,873.07 and 9,885.20 is: 14,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.06 : 14,873.07 = 9,885.20 : x
  2. Step 2: Convert to fraction form
    9,974.06/14,873.07 = 9,885.20/x
  3. Step 3: Cross multiply
    9,974.06x = 14,873.07 × 9,885.20
  4. Step 4: Simplify right side
    9,974.06x = 147,023,222.14
  5. Step 5: Solve for x
    x = 147,023,222.14/9,974.06
  6. Step 6: Final answer
    x = 14,740.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.